Metrics for Octave 3.8, jcobi/4, as called

analyze3.0ms (0%)

Memory

3.3MiB live, 3.3MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	50%	50%	0%	0%	0%	0
0%	0%	50%	50%	0%	0%	0%	1
50%	25%	25%	50%	0%	0%	0%	2
50%	25%	25%	50%	0%	0%	0%	3
75%	37.5%	12.5%	50%	0%	0%	0%	4
87.5%	43.7%	6.2%	50%	0%	0%	0%	5
93.8%	46.9%	3.1%	50%	0%	0%	0%	6
96.9%	48.4%	1.6%	50%	0%	0%	0%	7
98.4%	49.2%	0.8%	50%	0%	0%	0%	8
99.2%	49.6%	0.4%	50%	0%	0%	0%	9
99.6%	49.8%	0.2%	50%	0%	0%	0%	10
99.8%	49.9%	0.1%	50%	0%	0%	0%	11
99.9%	49.9%	0%	50%	0%	0%	0%	12

Compiler

Compiled 29 to 13 computations (55.2% saved)

sample1.0s (12%)

Memory

-14.3MiB live, 1 633.1MiB allocated

Samples

755.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 511.0ms

ival-mult: 290.0ms (56.8% of total)

ival-div: 99.0ms (19.4% of total)

ival->: 65.0ms (12.7% of total)

ival-sub: 40.0ms (7.8% of total)

exact: 12.0ms (2.3% of total)

ival-assert: 3.0ms (0.6% of total)

Bogosity

preprocess321.0ms (3.8%)

Memory

33.8MiB live, 633.8MiB allocated

Algorithm

2×	egg-herbie

Rules

7 204×	`accelerator-lowering-fma.f32`
7 204×	`accelerator-lowering-fma.f64`
5 094×	`-lowering-.f32`
5 094×	`-lowering-.f64`
3 164×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	64
1	84	58
2	559	39
3	4330	39
0	10	21
1	38	19
2	178	13
3	1053	13
4	3631	11
5	5272	11
6	7303	11
0	8016	10

Stop Event

1×	iter limit
1×	node limit
1×	node limit

Calls

Call 1

Inputs
(/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1))

Outputs
(/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1))
(/.f64 (.f64 i i) (fma.f64 (.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)))

Call 2

Inputs

(/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1))

(/ (/ (* (* (neg i) (neg i)) (* (neg i) (neg i))) (* (* 2 (neg i)) (* 2 (neg i)))) (- (* (* 2 (neg i)) (* 2 (neg i))) 1))

(neg (/ (/ (* (* (neg i) (neg i)) (* (neg i) (neg i))) (* (* 2 (neg i)) (* 2 (neg i)))) (- (* (* 2 (neg i)) (* 2 (neg i))) 1)))

Outputs
(/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1))
(* (* i i) (/ 1/4 (- -1 (* (* i i) -4))))
(/ (/ (* (* (neg i) (neg i)) (* (neg i) (neg i))) (* (* 2 (neg i)) (* 2 (neg i)))) (- (* (* 2 (neg i)) (* 2 (neg i))) 1))
(* (* i i) (/ 1/4 (- -1 (* (* i i) -4))))
(neg (/ (/ (* (* (neg i) (neg i)) (* (neg i) (neg i))) (* (* 2 (neg i)) (* 2 (neg i)))) (- (* (* 2 (neg i)) (* 2 (neg i))) 1)))
(* (* i i) (/ 1/4 (+ 1 (* (* i i) -4))))

Symmetry

(abs i)

explain160.0ms (1.9%)

Memory

10.1MiB live, 322.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
186	-	-	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`
53	-	-	`(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`
0	-	-	`(*.f64 i i)`
0	-	-	`(.f64 (.f64 i i) (*.f64 i i))`
0	-	-	`(-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))`
0	-	-	`i`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`(*.f64 #s(literal 2 binary64) i)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	u/u	60	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	underflow	101
↳	`(*.f64 i i)`	underflow	120
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	underflow	60
`/.f64`	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	o/o	53	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	overflow	85
↳	`(*.f64 i i)`	overflow	106
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	overflow	53
`/.f64`	`(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))`	o/o	53	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	overflow	85
↳	`(*.f64 i i)`	overflow	106
↳	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	overflow	53
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	overflow	53
↳	`(-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))`	overflow	53
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	overflow	53
`/.f64`	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	u/n	41	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	underflow	101
↳	`(*.f64 i i)`	underflow	120
`/.f64`	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	o/n	32	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	overflow	85
↳	`(*.f64 i i)`	overflow	106

Confusion

	Predicted +	Predicted -
+	186	0
-	0	70

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	186	0	0
-	0	0	70

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	70
1	133
2	53

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

38.0ms

512×

valid

Compiler

Compiled 200 to 44 computations (78% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-mult: 14.0ms (61.1% of total)

ival-div: 6.0ms (26.2% of total)

ival-sub: 2.0ms (8.7% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune2.0ms (0%)

Memory

-36.2MiB live, 2.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	29.2%	(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))

Status

Accuracy

Program

▶

29.2%

(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))

Compiler

Compiled 26 to 10 computations (61.5% saved)

simplify324.0ms (3.8%)

Memory

19.3MiB live, 569.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))
✓	cost-diff	320	(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))
✓	cost-diff	320	(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
✓	cost-diff	1664	(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))

Rules

7 204×	`accelerator-lowering-fma.f32`
7 204×	`accelerator-lowering-fma.f64`
5 094×	`-lowering-.f32`
5 094×	`-lowering-.f64`
3 164×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	62
1	38	56
2	178	42
3	1053	42
4	3631	40
5	5272	40
6	7303	40
0	8016	38

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1))
(/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))
(* (* i i) (* i i))
(* i i)
i
(* (* 2 i) (* 2 i))
(* 2 i)
2
(- (* (* 2 i) (* 2 i)) 1)
1

Outputs
(/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1))
(/.f64 (.f64 i i) (fma.f64 (.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)))
(/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))
(.f64 (.f64 i i) #s(literal 1/4 binary64))
(* (* i i) (* i i))
(.f64 i (.f64 i (*.f64 i i)))
(* i i)
(*.f64 i i)
i
(* (* 2 i) (* 2 i))
(.f64 (.f64 i i) #s(literal 4 binary64))
(* 2 i)
(*.f64 i #s(literal 2 binary64))
2
#s(literal 2 binary64)
(- (* (* 2 i) (* 2 i)) 1)
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))
1
#s(literal 1 binary64)

localize31.0ms (0.4%)

Memory

25.9MiB live, 65.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) i)
✓	accuracy	99.8%	(.f64 (.f64 i i) (*.f64 i i))
✓	accuracy	79.9%	(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
✓	accuracy	34.1%	(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))

Samples

18.0ms

256×

valid

Compiler

Compiled 74 to 12 computations (83.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-mult: 6.0ms (54.7% of total)

ival-div: 4.0ms (36.5% of total)

ival-sub: 1.0ms (9.1% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory

-28.8MiB live, 10.2MiB allocated

Counts

6 → 72

Calls

Call 1

Inputs
#<alt (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))>
#<alt (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1))>
#<alt (* (* 2 i) (* 2 i))>
#<alt (- (* (* 2 i) (* 2 i)) 1)>
#<alt (* (* i i) (* i i))>
#<alt (* 2 i)>

Outputs
#<alt (* 1/4 (pow i 2))>
#<alt (* 1/4 (pow i 2))>
#<alt (* 1/4 (pow i 2))>
#<alt (* 1/4 (pow i 2))>
#<alt (* 1/4 (pow i 2))>
#<alt (* 1/4 (pow i 2))>
#<alt (* 1/4 (pow i 2))>
#<alt (* 1/4 (pow i 2))>
#<alt (* 1/4 (pow i 2))>
#<alt (* 1/4 (pow i 2))>
#<alt (* 1/4 (pow i 2))>
#<alt (* 1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4))>
#<alt (* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))>
#<alt (* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))>
#<alt 1/16>
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))>
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))>
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))>
#<alt 1/16>
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))>
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))>
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))>
#<alt (* 4 (pow i 2))>
#<alt (* 4 (pow i 2))>
#<alt (* 4 (pow i 2))>
#<alt (* 4 (pow i 2))>
#<alt (* 4 (pow i 2))>
#<alt (* 4 (pow i 2))>
#<alt (* 4 (pow i 2))>
#<alt (* 4 (pow i 2))>
#<alt (* 4 (pow i 2))>
#<alt (* 4 (pow i 2))>
#<alt (* 4 (pow i 2))>
#<alt (* 4 (pow i 2))>
#<alt -1>
#<alt (- (* 4 (pow i 2)) 1)>
#<alt (- (* 4 (pow i 2)) 1)>
#<alt (- (* 4 (pow i 2)) 1)>
#<alt (* 4 (pow i 2))>
#<alt (* (pow i 2) (- 4 (/ 1 (pow i 2))))>
#<alt (* (pow i 2) (- 4 (/ 1 (pow i 2))))>
#<alt (* (pow i 2) (- 4 (/ 1 (pow i 2))))>
#<alt (* 4 (pow i 2))>
#<alt (* (pow i 2) (- 4 (/ 1 (pow i 2))))>
#<alt (* (pow i 2) (- 4 (/ 1 (pow i 2))))>
#<alt (* (pow i 2) (- 4 (/ 1 (pow i 2))))>
#<alt (pow i 4)>
#<alt (pow i 4)>
#<alt (pow i 4)>
#<alt (pow i 4)>
#<alt (pow i 4)>
#<alt (pow i 4)>
#<alt (pow i 4)>
#<alt (pow i 4)>
#<alt (pow i 4)>
#<alt (pow i 4)>
#<alt (pow i 4)>
#<alt (pow i 4)>
#<alt (* 2 i)>
#<alt (* 2 i)>
#<alt (* 2 i)>
#<alt (* 2 i)>
#<alt (* 2 i)>
#<alt (* 2 i)>
#<alt (* 2 i)>
#<alt (* 2 i)>
#<alt (* 2 i)>
#<alt (* 2 i)>
#<alt (* 2 i)>
#<alt (* 2 i)>

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	i	@	inf	(* (* 2 i) (* 2 i))
1.0ms	i	@	inf	(/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1))
1.0ms	i	@	0	(/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))
0.0ms	i	@	inf	(/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))
0.0ms	i	@	0	(/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1))

rewrite350.0ms (4.1%)

Memory

22.0MiB live, 488.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 046×	`-lowering-.f32`
5 046×	`-lowering-.f64`
4 332×	`/-lowering-/.f32`
4 332×	`/-lowering-/.f64`
4 096×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	50
1	68	44
2	647	32
0	8818	30

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 700

Calls

Call 1

Inputs
(/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))
(/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1))
(* (* 2 i) (* 2 i))
(- (* (* 2 i) (* 2 i)) 1)
(* (* i i) (* i i))
(* 2 i)

Outputs
(exp.f64 (.f64 (log.f64 (.f64 i #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 4 binary64) (.f64 i i))) #s(literal -1 binary64)))
(exp.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 i)) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (log.f64 (*.f64 i #s(literal 2 binary64))) #s(literal 0 binary64))))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 i i) #s(literal -1/4 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 i (.f64 i #s(literal -4 binary64)))) (.f64 (.f64 i i) #s(literal -1/4 binary64)))
(neg.f64 (.f64 (.f64 i i) #s(literal -1/4 binary64)))
(/.f64 i (/.f64 #s(literal 4 binary64) i))
(/.f64 (*.f64 i i) #s(literal 4 binary64))
(/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 (*.f64 i i) #s(literal 4 binary64)))
(/.f64 (.f64 i (.f64 i #s(literal 1/4 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 i (.f64 i #s(literal 2 binary64))) (.f64 i (.f64 (.f64 i (.f64 i i)) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i (*.f64 i #s(literal 1/4 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 i (.f64 i (.f64 i (*.f64 i #s(literal 1/4 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 i (.f64 i (.f64 i i)))) (.f64 i (*.f64 i #s(literal -4 binary64))))
(/.f64 (/.f64 #s(literal 1/4 binary64) (.f64 i i)) (/.f64 #s(literal 1 binary64) (.f64 i (.f64 i (.f64 i i)))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i)))
(/.f64 (.f64 i (.f64 i i)) (*.f64 i #s(literal 4 binary64)))
(/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 1/2 binary64)) (.f64 i #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 1/2 binary64)) (neg.f64 (.f64 i #s(literal -2 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 i i)) #s(literal -4 binary64))
(/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal -1/2 binary64)) (.f64 i #s(literal -2 binary64)))
(/.f64 (*.f64 i #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) i))
(/.f64 (.f64 i (.f64 i #s(literal 1/2 binary64))) #s(literal 2 binary64))
(/.f64 (.f64 i (.f64 i #s(literal 1/2 binary64))) (*.f64 (/.f64 #s(literal 2 binary64) i) i))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 i i)))
(/.f64 (*.f64 i #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) i))
(/.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 i i)))
(/.f64 (/.f64 #s(literal 1/4 binary64) i) (/.f64 #s(literal 1 binary64) (.f64 i (.f64 i i))))
(/.f64 (/.f64 #s(literal 1/2 binary64) i) (/.f64 #s(literal 2 binary64) (.f64 i (.f64 i i))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 i (.f64 i i))) (*.f64 i #s(literal -4 binary64)))
(/.f64 (.f64 i (.f64 (.f64 i (.f64 i i)) #s(literal 1/2 binary64))) (.f64 i (.f64 i #s(literal 2 binary64))))
(/.f64 (.f64 i (.f64 i (.f64 i (.f64 i #s(literal 1/4 binary64))))) (*.f64 i i))
(/.f64 (.f64 i (.f64 i (*.f64 i #s(literal 1/4 binary64)))) i)
(/.f64 (.f64 (.f64 i (.f64 i #s(literal 1/4 binary64))) (.f64 i i)) (*.f64 i i))
(/.f64 (.f64 (.f64 i (*.f64 i #s(literal 1/4 binary64))) i) i)
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 i i)) #s(literal 1 binary64)) (.f64 (.f64 i #s(literal -2 binary64)) (/.f64 #s(literal 2 binary64) i)))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 i (.f64 i (.f64 i i))))) (.f64 i (.f64 i #s(literal -4 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 i i)) #s(literal 4 binary64))
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(.f64 (/.f64 (fma.f64 (.f64 i i) (.f64 (.f64 i i) #s(literal 16 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 i i) (.f64 (.f64 i i) #s(literal 16 binary64)) #s(literal -1 binary64))) (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i (.f64 i i)) #s(literal 64 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 4096 binary64) (.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))))) (.f64 (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64)) (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64)))))) (fma.f64 (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64)) (-.f64 (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64)) (.f64 (.f64 i i) (.f64 (.f64 i i) #s(literal 16 binary64)))) (.f64 #s(literal 256 binary64) (.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i (.f64 i i)))))))
(.f64 (/.f64 (fma.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i (.f64 i i)) #s(literal 64 binary64)) #s(literal -1 binary64)) (.f64 (fma.f64 i (.f64 i #s(literal 4 binary64)) (fma.f64 (.f64 i i) (.f64 (.f64 i i) #s(literal 16 binary64)) #s(literal 1 binary64))) (-.f64 (.f64 (.f64 i i) (-.f64 (.f64 (.f64 i i) #s(literal 16 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64)))) (-.f64 (.f64 (.f64 i i) (-.f64 (.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 i i) (.f64 (.f64 i i) #s(literal 16 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i (.f64 i i)) #s(literal 64 binary64)) #s(literal 1 binary64))) (fma.f64 (.f64 i i) (-.f64 (.f64 (.f64 i i) #s(literal 16 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 i i) (.f64 (.f64 i i) #s(literal 16 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -16 binary64) (.f64 i (.f64 i (.f64 i i)))))) (fma.f64 i (*.f64 i #s(literal -4 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 i)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 i) #s(literal 4 binary64)))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 i) (*.f64 #s(literal 2 binary64) (log.f64 i))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (.f64 i (.f64 i (*.f64 i i)))))
(neg.f64 (-.f64 #s(literal 0 binary64) (.f64 i (.f64 i (*.f64 i i)))))
(pow.f64 i #s(literal 4 binary64))
(pow.f64 (*.f64 i i) #s(literal 2 binary64))
(pow.f64 (.f64 i (.f64 i (*.f64 i i))) #s(literal 1 binary64))
(.f64 i (.f64 i (*.f64 i i)))
(.f64 i (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 i (*.f64 i i)))))
(.f64 (.f64 i i) (*.f64 i i))
(.f64 (.f64 i i) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 i i))))
(.f64 (.f64 i (.f64 i (.f64 i i))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 i (.f64 i (.f64 i i))))
(.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (.f64 i (.f64 i (.f64 i i)))))
(.f64 (.f64 i (*.f64 i i)) i)
(.f64 (.f64 i (*.f64 i i)) (neg.f64 (-.f64 #s(literal 0 binary64) i)))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 i i)) (-.f64 #s(literal 0 binary64) (*.f64 i i)))
(.f64 (-.f64 #s(literal 0 binary64) i) (-.f64 #s(literal 0 binary64) (.f64 i (*.f64 i i))))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 i (*.f64 i i))) (-.f64 #s(literal 0 binary64) i))
(.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 i i))) (*.f64 i i))
(.f64 (neg.f64 (-.f64 #s(literal 0 binary64) i)) (.f64 i (*.f64 i i)))
(.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 i (*.f64 i i)))) i)
(exp.f64 (.f64 (log.f64 (.f64 i #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) i))
(/.f64 (.f64 i (.f64 i #s(literal 2 binary64))) i)
(/.f64 (.f64 i (.f64 i #s(literal -2 binary64))) (-.f64 #s(literal 0 binary64) i))
(pow.f64 (*.f64 i #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 i #s(literal 2 binary64))
(.f64 (.f64 i i) (/.f64 #s(literal 2 binary64) i))
(*.f64 #s(literal 2 binary64) i)
(.f64 (.f64 i #s(literal 2 binary64)) #s(literal 1 binary64))
(.f64 (.f64 i (*.f64 i #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) i))
(.f64 (pow.f64 (.f64 i #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 i #s(literal 2 binary64)) #s(literal 1/2 binary64)))

simplify473.0ms (5.6%)

Memory

-8.6MiB live, 713.3MiB allocated

Algorithm

1×	egg-herbie

Rules

15 408×	`accelerator-lowering-fma.f32`
15 408×	`accelerator-lowering-fma.f64`
3 874×	`-lowering-.f32`
3 874×	`-lowering-.f64`
1 628×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	401
1	96	401
2	220	400
3	504	396
4	1045	396
5	2097	396
6	4072	396
7	6268	396
0	8056	384

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

Inputs
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(* 4 (pow i 2))
(* 4 (pow i 2))
(* 4 (pow i 2))
(* 4 (pow i 2))
(* 4 (pow i 2))
(* 4 (pow i 2))
(* 4 (pow i 2))
(* 4 (pow i 2))
(* 4 (pow i 2))
(* 4 (pow i 2))
(* 4 (pow i 2))
(* 4 (pow i 2))
-1
(- (* 4 (pow i 2)) 1)
(- (* 4 (pow i 2)) 1)
(- (* 4 (pow i 2)) 1)
(* 4 (pow i 2))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(* 4 (pow i 2))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(pow i 4)
(pow i 4)
(pow i 4)
(pow i 4)
(pow i 4)
(pow i 4)
(pow i 4)
(pow i 4)
(pow i 4)
(pow i 4)
(pow i 4)
(pow i 4)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)

Outputs
(* 1/4 (pow i 2))
(fma.f64 #s(literal 1/4 binary64) (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/4 (pow i 2))
(fma.f64 #s(literal 1/4 binary64) (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/4 (pow i 2))
(fma.f64 #s(literal 1/4 binary64) (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/4 (pow i 2))
(fma.f64 #s(literal 1/4 binary64) (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/4 (pow i 2))
(fma.f64 #s(literal 1/4 binary64) (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/4 (pow i 2))
(fma.f64 #s(literal 1/4 binary64) (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/4 (pow i 2))
(fma.f64 #s(literal 1/4 binary64) (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/4 (pow i 2))
(fma.f64 #s(literal 1/4 binary64) (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/4 (pow i 2))
(fma.f64 #s(literal 1/4 binary64) (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/4 (pow i 2))
(fma.f64 #s(literal 1/4 binary64) (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/4 (pow i 2))
(fma.f64 #s(literal 1/4 binary64) (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/4 (pow i 2))
(fma.f64 #s(literal 1/4 binary64) (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1/4 (pow i 2))
(fma.f64 i (fma.f64 i #s(literal -1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(fma.f64 (fma.f64 i i #s(literal 0 binary64)) (-.f64 #s(literal -1/4 binary64) (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(fma.f64 (fma.f64 i i #s(literal 0 binary64)) (fma.f64 (fma.f64 i i #s(literal 0 binary64)) (fma.f64 (fma.f64 i i #s(literal 0 binary64)) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal -1/4 binary64)) #s(literal 0 binary64))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(fma.f64 i (fma.f64 i (fma.f64 (fma.f64 i i #s(literal 0 binary64)) (fma.f64 i (fma.f64 i (fma.f64 i (*.f64 i #s(literal -16 binary64)) #s(literal -4 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64)) #s(literal -1/4 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (fma.f64 i i #s(literal 0 binary64))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/64 binary64) (fma.f64 i i #s(literal 0 binary64))) (/.f64 #s(literal 1/256 binary64) (fma.f64 i (fma.f64 i (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(+.f64 (+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/64 binary64) (fma.f64 i i #s(literal 0 binary64))) (/.f64 #s(literal 1/256 binary64) (fma.f64 i (fma.f64 i (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))) (/.f64 #s(literal 1/1024 binary64) (.f64 i (.f64 i (fma.f64 i (fma.f64 i (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))))
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (fma.f64 i i #s(literal 0 binary64))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/64 binary64) (fma.f64 i i #s(literal 0 binary64))) (/.f64 #s(literal 1/256 binary64) (fma.f64 i (fma.f64 i (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(+.f64 (+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/64 binary64) (fma.f64 i i #s(literal 0 binary64))) (/.f64 #s(literal 1/256 binary64) (fma.f64 i (fma.f64 i (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))) (/.f64 #s(literal 1/1024 binary64) (.f64 i (.f64 i (fma.f64 i (fma.f64 i (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))))
(* 4 (pow i 2))
(fma.f64 (fma.f64 i i #s(literal 0 binary64)) #s(literal 4 binary64) #s(literal 0 binary64))
(* 4 (pow i 2))
(fma.f64 (fma.f64 i i #s(literal 0 binary64)) #s(literal 4 binary64) #s(literal 0 binary64))
(* 4 (pow i 2))
(fma.f64 (fma.f64 i i #s(literal 0 binary64)) #s(literal 4 binary64) #s(literal 0 binary64))
(* 4 (pow i 2))
(fma.f64 (fma.f64 i i #s(literal 0 binary64)) #s(literal 4 binary64) #s(literal 0 binary64))
(* 4 (pow i 2))
(fma.f64 (fma.f64 i i #s(literal 0 binary64)) #s(literal 4 binary64) #s(literal 0 binary64))
(* 4 (pow i 2))
(fma.f64 (fma.f64 i i #s(literal 0 binary64)) #s(literal 4 binary64) #s(literal 0 binary64))
(* 4 (pow i 2))
(fma.f64 (fma.f64 i i #s(literal 0 binary64)) #s(literal 4 binary64) #s(literal 0 binary64))
(* 4 (pow i 2))
(fma.f64 (fma.f64 i i #s(literal 0 binary64)) #s(literal 4 binary64) #s(literal 0 binary64))
(* 4 (pow i 2))
(fma.f64 (fma.f64 i i #s(literal 0 binary64)) #s(literal 4 binary64) #s(literal 0 binary64))
(* 4 (pow i 2))
(fma.f64 (fma.f64 i i #s(literal 0 binary64)) #s(literal 4 binary64) #s(literal 0 binary64))
(* 4 (pow i 2))
(fma.f64 (fma.f64 i i #s(literal 0 binary64)) #s(literal 4 binary64) #s(literal 0 binary64))
(* 4 (pow i 2))
(fma.f64 (fma.f64 i i #s(literal 0 binary64)) #s(literal 4 binary64) #s(literal 0 binary64))
-1
#s(literal -1 binary64)
(- (* 4 (pow i 2)) 1)
(fma.f64 i (fma.f64 i #s(literal 4 binary64) #s(literal 0 binary64)) #s(literal -1 binary64))
(- (* 4 (pow i 2)) 1)
(fma.f64 i (fma.f64 i #s(literal 4 binary64) #s(literal 0 binary64)) #s(literal -1 binary64))
(- (* 4 (pow i 2)) 1)
(fma.f64 i (fma.f64 i #s(literal 4 binary64) #s(literal 0 binary64)) #s(literal -1 binary64))
(* 4 (pow i 2))
(fma.f64 (fma.f64 i i #s(literal 0 binary64)) #s(literal 4 binary64) #s(literal 0 binary64))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(fma.f64 i (fma.f64 i #s(literal 4 binary64) #s(literal 0 binary64)) #s(literal -1 binary64))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(fma.f64 i (fma.f64 i #s(literal 4 binary64) #s(literal 0 binary64)) #s(literal -1 binary64))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(fma.f64 i (fma.f64 i #s(literal 4 binary64) #s(literal 0 binary64)) #s(literal -1 binary64))
(* 4 (pow i 2))
(fma.f64 (fma.f64 i i #s(literal 0 binary64)) #s(literal 4 binary64) #s(literal 0 binary64))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(fma.f64 i (fma.f64 i #s(literal 4 binary64) #s(literal 0 binary64)) #s(literal -1 binary64))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(fma.f64 i (fma.f64 i #s(literal 4 binary64) #s(literal 0 binary64)) #s(literal -1 binary64))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(fma.f64 i (fma.f64 i #s(literal 4 binary64) #s(literal 0 binary64)) #s(literal -1 binary64))
(pow i 4)
(fma.f64 i (fma.f64 i (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(pow i 4)
(fma.f64 i (fma.f64 i (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(pow i 4)
(fma.f64 i (fma.f64 i (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(pow i 4)
(fma.f64 i (fma.f64 i (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(pow i 4)
(fma.f64 i (fma.f64 i (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(pow i 4)
(fma.f64 i (fma.f64 i (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(pow i 4)
(fma.f64 i (fma.f64 i (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(pow i 4)
(fma.f64 i (fma.f64 i (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(pow i 4)
(fma.f64 i (fma.f64 i (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(pow i 4)
(fma.f64 i (fma.f64 i (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(pow i 4)
(fma.f64 i (fma.f64 i (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(pow i 4)
(fma.f64 i (fma.f64 i (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 i)
(*.f64 i #s(literal 2 binary64))
(* 2 i)
(*.f64 i #s(literal 2 binary64))
(* 2 i)
(*.f64 i #s(literal 2 binary64))
(* 2 i)
(*.f64 i #s(literal 2 binary64))
(* 2 i)
(*.f64 i #s(literal 2 binary64))
(* 2 i)
(*.f64 i #s(literal 2 binary64))
(* 2 i)
(*.f64 i #s(literal 2 binary64))
(* 2 i)
(*.f64 i #s(literal 2 binary64))
(* 2 i)
(*.f64 i #s(literal 2 binary64))
(* 2 i)
(*.f64 i #s(literal 2 binary64))
(* 2 i)
(*.f64 i #s(literal 2 binary64))
(* 2 i)
(*.f64 i #s(literal 2 binary64))

eval98.0ms (1.2%)

Memory: 12.4MiB live, 207.6MiB allocated
Compiler: Compiled 24 382 to 1 999 computations (91.8% saved)

prune98.0ms (1.2%)

Memory

-11.2MiB live, 227.2MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	885	7	892
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	886	7	893

Accuracy

100.0%

Counts

893 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.2%	(fma.f64 (fma.f64 i i #s(literal 0 binary64)) (-.f64 #s(literal -1/4 binary64) (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64))
▶	53.1%	(fma.f64 i (fma.f64 i #s(literal -1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
	79.3%	(/.f64 (.f64 (.f64 i i) #s(literal -1/4 binary64)) (fma.f64 i (*.f64 i #s(literal -4 binary64)) #s(literal 1 binary64)))
▶	98.9%	(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal 16 binary64)))
▶	47.2%	(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (fma.f64 i i #s(literal 0 binary64))))
	79.8%	(.f64 i (.f64 i (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))))
▶	47.4%	#s(literal 1/16 binary64)

Compiler

Compiled 136 to 92 computations (32.4% saved)

simplify76.0ms (0.9%)

Memory

9.7MiB live, 86.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 #s(literal -1/4 binary64) (fma.f64 i i #s(literal 0 binary64)))
✓	cost-diff	0	(fma.f64 i i #s(literal 0 binary64))
✓	cost-diff	0	(fma.f64 (fma.f64 i i #s(literal 0 binary64)) (-.f64 #s(literal -1/4 binary64) (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64))
✓	cost-diff	0	(fma.f64 i i #s(literal 0 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1/64 binary64) (fma.f64 i i #s(literal 0 binary64)))
✓	cost-diff	0	(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (fma.f64 i i #s(literal 0 binary64))))
✓	cost-diff	0	(fma.f64 i #s(literal -1/4 binary64) #s(literal 0 binary64))
✓	cost-diff	0	(fma.f64 i (fma.f64 i #s(literal -1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
✓	cost-diff	-64	(*.f64 i i)
✓	cost-diff	0	(/.f64 #s(literal -4 binary64) (*.f64 i i))
✓	cost-diff	0	(+.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal 16 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal 16 binary64)))

Rules

808×	`accelerator-lowering-fma.f32`
808×	`accelerator-lowering-fma.f64`
536×	`-lowering-.f32`
536×	`-lowering-.f64`
226×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	79
1	47	79
2	83	79
3	148	79
4	211	79
5	247	79
6	334	79
7	432	79
8	579	79
9	678	79
10	756	79
11	819	79
12	873	79
13	1058	79
14	1369	79
15	1476	79
16	1538	79
17	1580	79
18	1587	79
19	1588	79
20	1588	79
0	1588	79

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ 1 (+ (/ -4 (* i i)) 16))
1
(+ (/ -4 (* i i)) 16)
(/ -4 (* i i))
-4
(* i i)
i
16
1/16
(+ (* i (+ (* i -1/4) 0)) 0)
i
(+ (* i -1/4) 0)
-1/4
0
(+ 1/16 (/ 1/64 (+ (* i i) 0)))
1/16
(/ 1/64 (+ (* i i) 0))
1/64
(+ (* i i) 0)
i
0
(+ (* (+ (* i i) 0) (- -1/4 (+ (* i i) 0))) 0)
(+ (* i i) 0)
i
0
(- -1/4 (+ (* i i) 0))
-1/4

Outputs
(/ 1 (+ (/ -4 (* i i)) 16))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -4 binary64) (fma.f64 i i #s(literal 0 binary64))) #s(literal 16 binary64)))
1
#s(literal 1 binary64)
(+ (/ -4 (* i i)) 16)
(+.f64 (/.f64 #s(literal -4 binary64) (fma.f64 i i #s(literal 0 binary64))) #s(literal 16 binary64))
(/ -4 (* i i))
(/.f64 #s(literal -4 binary64) (fma.f64 i i #s(literal 0 binary64)))
-4
#s(literal -4 binary64)
(* i i)
(fma.f64 i i #s(literal 0 binary64))
i
16
#s(literal 16 binary64)
1/16
#s(literal 1/16 binary64)
(+ (* i (+ (* i -1/4) 0)) 0)
(fma.f64 i (fma.f64 i #s(literal -1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
i
(+ (* i -1/4) 0)
(fma.f64 i #s(literal -1/4 binary64) #s(literal 0 binary64))
-1/4
#s(literal -1/4 binary64)
0
#s(literal 0 binary64)
(+ 1/16 (/ 1/64 (+ (* i i) 0)))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (fma.f64 i i #s(literal 0 binary64))))
1/16
#s(literal 1/16 binary64)
(/ 1/64 (+ (* i i) 0))
(/.f64 #s(literal 1/64 binary64) (fma.f64 i i #s(literal 0 binary64)))
1/64
#s(literal 1/64 binary64)
(+ (* i i) 0)
(fma.f64 i i #s(literal 0 binary64))
i
0
#s(literal 0 binary64)
(+ (* (+ (* i i) 0) (- -1/4 (+ (* i i) 0))) 0)
(-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 i i #s(literal 0 binary64)) (fma.f64 i i #s(literal 1/4 binary64)) #s(literal 0 binary64)))
(+ (* i i) 0)
(fma.f64 i i #s(literal 0 binary64))
i
0
#s(literal 0 binary64)
(- -1/4 (+ (* i i) 0))
(-.f64 #s(literal -1/4 binary64) (fma.f64 i i #s(literal 0 binary64)))
-1/4
#s(literal -1/4 binary64)

localize60.0ms (0.7%)

Memory

31.1MiB live, 108.7MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 i i #s(literal 0 binary64))
✓	accuracy	100.0%	(-.f64 #s(literal -1/4 binary64) (fma.f64 i i #s(literal 0 binary64)))
✓	accuracy	99.9%	(fma.f64 (fma.f64 i i #s(literal 0 binary64)) (-.f64 #s(literal -1/4 binary64) (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64))
✓	accuracy	100.0%	(fma.f64 i i #s(literal 0 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (fma.f64 i i #s(literal 0 binary64))))
✓	accuracy	99.5%	(/.f64 #s(literal 1/64 binary64) (fma.f64 i i #s(literal 0 binary64)))
✓	accuracy	100.0%	(fma.f64 i (fma.f64 i #s(literal -1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
✓	accuracy	100.0%	(fma.f64 i #s(literal -1/4 binary64) #s(literal 0 binary64))
✓	accuracy	100.0%	(+.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal 16 binary64))
✓	accuracy	100.0%	(*.f64 i i)
✓	accuracy	99.5%	(/.f64 #s(literal -4 binary64) (*.f64 i i))
✓	accuracy	98.9%	(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal 16 binary64)))

Samples

34.0ms

256×

valid

Compiler

Compiled 92 to 24 computations (73.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-div: 7.0ms (32.5% of total)

ival-add: 6.0ms (27.8% of total)

ival-mult: 6.0ms (27.8% of total)

ival-sub: 1.0ms (4.6% of total)

exact: 1.0ms (4.6% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory

-28.0MiB live, 10.2MiB allocated

Counts

11 → 132

Calls

Call 1

Inputs
#<alt (/ 1 (+ (/ -4 (* i i)) 16))>
#<alt (+ (/ -4 (* i i)) 16)>
#<alt (/ -4 (* i i))>
#<alt (* i i)>
#<alt (+ (* i (+ (* i -1/4) 0)) 0)>
#<alt (+ (* i -1/4) 0)>
#<alt (+ 1/16 (/ 1/64 (+ (* i i) 0)))>
#<alt (/ 1/64 (+ (* i i) 0))>
#<alt (+ (* i i) 0)>
#<alt (+ (* (+ (* i i) 0) (- -1/4 (+ (* i i) 0))) 0)>
#<alt (- -1/4 (+ (* i i) 0))>

Outputs
#<alt (* -1/4 (pow i 2))>
#<alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4))>
#<alt (* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))>
#<alt (* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))>
#<alt 1/16>
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))>
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))>
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))>
#<alt 1/16>
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))>
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))>
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))>
#<alt (/ -4 (pow i 2))>
#<alt (/ (- (* 16 (pow i 2)) 4) (pow i 2))>
#<alt (/ (- (* 16 (pow i 2)) 4) (pow i 2))>
#<alt (/ (- (* 16 (pow i 2)) 4) (pow i 2))>
#<alt 16>
#<alt (- 16 (* 4 (/ 1 (pow i 2))))>
#<alt (- 16 (* 4 (/ 1 (pow i 2))))>
#<alt (- 16 (* 4 (/ 1 (pow i 2))))>
#<alt 16>
#<alt (- 16 (* 4 (/ 1 (pow i 2))))>
#<alt (- 16 (* 4 (/ 1 (pow i 2))))>
#<alt (- 16 (* 4 (/ 1 (pow i 2))))>
#<alt (/ -4 (pow i 2))>
#<alt (/ -4 (pow i 2))>
#<alt (/ -4 (pow i 2))>
#<alt (/ -4 (pow i 2))>
#<alt (/ -4 (pow i 2))>
#<alt (/ -4 (pow i 2))>
#<alt (/ -4 (pow i 2))>
#<alt (/ -4 (pow i 2))>
#<alt (/ -4 (pow i 2))>
#<alt (/ -4 (pow i 2))>
#<alt (/ -4 (pow i 2))>
#<alt (/ -4 (pow i 2))>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 i)>
#<alt (* -1/4 i)>
#<alt (* -1/4 i)>
#<alt (* -1/4 i)>
#<alt (* -1/4 i)>
#<alt (* -1/4 i)>
#<alt (* -1/4 i)>
#<alt (* -1/4 i)>
#<alt (* -1/4 i)>
#<alt (* -1/4 i)>
#<alt (* -1/4 i)>
#<alt (* -1/4 i)>
#<alt (/ 1/64 (pow i 2))>
#<alt (/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))>
#<alt (/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))>
#<alt (/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))>
#<alt 1/16>
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))>
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))>
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))>
#<alt 1/16>
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))>
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))>
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))>
#<alt (/ 1/64 (pow i 2))>
#<alt (/ 1/64 (pow i 2))>
#<alt (/ 1/64 (pow i 2))>
#<alt (/ 1/64 (pow i 2))>
#<alt (/ 1/64 (pow i 2))>
#<alt (/ 1/64 (pow i 2))>
#<alt (/ 1/64 (pow i 2))>
#<alt (/ 1/64 (pow i 2))>
#<alt (/ 1/64 (pow i 2))>
#<alt (/ 1/64 (pow i 2))>
#<alt (/ 1/64 (pow i 2))>
#<alt (/ 1/64 (pow i 2))>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (* -1/4 (pow i 2))>
#<alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4))>
#<alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4))>
#<alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4))>
#<alt (* -1 (pow i 4))>
#<alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (pow i 4))>
#<alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt -1/4>
#<alt (- (* -1 (pow i 2)) 1/4)>
#<alt (- (* -1 (pow i 2)) 1/4)>
#<alt (- (* -1 (pow i 2)) 1/4)>
#<alt (* -1 (pow i 2))>
#<alt (* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (pow i 2))>
#<alt (* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>

Calls

33 calls:

Time	Variable		Point	Expression
2.0ms	i	@	inf	(+ (* i -1/4) 0)
1.0ms	i	@	0	(/ 1 (+ (/ -4 (* i i)) 16))
0.0ms	i	@	inf	(+ (* (+ (* i i) 0) (- -1/4 (+ (* i i) 0))) 0)
0.0ms	i	@	0	(/ -4 (* i i))
0.0ms	i	@	0	(+ (* (+ (* i i) 0) (- -1/4 (+ (* i i) 0))) 0)

rewrite502.0ms (5.9%)

Memory

19.2MiB live, 847.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 828×	`accelerator-lowering-fma.f32`
5 828×	`accelerator-lowering-fma.f64`
5 126×	`-lowering-.f32`
5 126×	`-lowering-.f64`
4 902×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	61
1	162	61
2	1530	61
0	8525	58

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 1 522

Calls

Call 1

Inputs
(/ 1 (+ (/ -4 (* i i)) 16))
(+ (/ -4 (* i i)) 16)
(/ -4 (* i i))
(* i i)
(+ (* i (+ (* i -1/4) 0)) 0)
(+ (* i -1/4) 0)
(+ 1/16 (/ 1/64 (+ (* i i) 0)))
(/ 1/64 (+ (* i i) 0))
(+ (* i i) 0)
(+ (* (+ (* i i) 0) (- -1/4 (+ (* i i) 0))) 0)
(- -1/4 (+ (* i i) 0))

Outputs
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 #s(literal -4 binary64) (fma.f64 i i #s(literal 0 binary64))) #s(literal 16 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -4 binary64) (fma.f64 i i #s(literal 0 binary64))) #s(literal 16 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -4 binary64) (fma.f64 i i #s(literal 0 binary64))) #s(literal 16 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal -4 binary64) (fma.f64 i i #s(literal 0 binary64))) #s(literal 16 binary64)))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal -4 binary64) (fma.f64 i i #s(literal 0 binary64))) #s(literal 16 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal -4 binary64) (fma.f64 i i #s(literal 0 binary64))) #s(literal 16 binary64))))))
(pow.f64 (+.f64 (/.f64 #s(literal -4 binary64) (fma.f64 i i #s(literal 0 binary64))) #s(literal 16 binary64)) #s(literal -1 binary64))
(pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal -4 binary64) (fma.f64 i i #s(literal 0 binary64))) #s(literal 16 binary64)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 (/.f64 #s(literal -4 binary64) (fma.f64 i i #s(literal 0 binary64))) #s(literal 16 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 (/.f64 #s(literal -4 binary64) (fma.f64 i i #s(literal 0 binary64))) #s(literal 16 binary64)) (+.f64 (/.f64 #s(literal -4 binary64) (fma.f64 i i #s(literal 0 binary64))) #s(literal 16 binary64))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (+.f64 (/.f64 #s(literal -4 binary64) (fma.f64 i i #s(literal 0 binary64))) #s(literal 16 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -4 binary64) (fma.f64 i i #s(literal 0 binary64))) #s(literal 16 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -4 binary64) (fma.f64 i i #s(literal 0 binary64))) #s(literal 16 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -4 binary64) (fma.f64 i i #s(literal 0 binary64))) #s(literal 16 binary64))))
(*.f64 (pow.f64 (+.f64 (/.f64 #s(literal -4 binary64) (fma.f64 i i #s(literal 0 binary64))) #s(literal 16 binary64)) #s(literal -1/2 binary64)) (pow.f64 (+.f64 (/.f64 #s(literal -4 binary64) (fma.f64 i i #s(literal 0 binary64))) #s(literal 16 binary64)) #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -64 binary64) (fma.f64 (.f64 i (fma.f64 i i #s(literal 0 binary64))) (.f64 i (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64))) #s(literal 4096 binary64))) (+.f64 (/.f64 #s(literal 16 binary64) (fma.f64 i (.f64 i (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64))) (-.f64 #s(literal 256 binary64) (/.f64 #s(literal -64 binary64) (fma.f64 i i #s(literal 0 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -64 binary64) (fma.f64 (.f64 i (fma.f64 i i #s(literal 0 binary64))) (.f64 i (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64))) #s(literal 4096 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 16 binary64) (fma.f64 i (.f64 i (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64))) (-.f64 #s(literal 256 binary64) (/.f64 #s(literal -64 binary64) (fma.f64 i i #s(literal 0 binary64)))))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 16 binary64) (fma.f64 i (.f64 i (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64))) #s(literal -256 binary64))) (+.f64 (/.f64 #s(literal -4 binary64) (fma.f64 i i #s(literal 0 binary64))) #s(literal -16 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 16 binary64) (fma.f64 i (.f64 i (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64))) #s(literal -256 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -4 binary64) (fma.f64 i i #s(literal 0 binary64))) #s(literal -16 binary64))) #s(literal -1 binary64)))
(+.f64 (/.f64 #s(literal -4 binary64) (fma.f64 i i #s(literal 0 binary64))) #s(literal 16 binary64))
(+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (fma.f64 i i #s(literal 0 binary64))))
(exp.f64 (neg.f64 (*.f64 (log.f64 (+.f64 (/.f64 #s(literal -4 binary64) (fma.f64 i i #s(literal 0 binary64))) #s(literal 16 binary64))) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (/.f64 #s(literal -4 binary64) (fma.f64 i i #s(literal 0 binary64))) #s(literal 16 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 #s(literal 16 binary64) (fma.f64 i (*.f64 i (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64))) (+.f64 (/.f64 #s(literal -4 binary64) (fma.f64 i i #s(literal 0 binary64))) #s(literal -16 binary64))) (/.f64 #s(literal 256 binary64) (+.f64 (/.f64 #s(literal -4 binary64) (fma.f64 i i #s(literal 0 binary64))) #s(literal -16 binary64))))
(-.f64 (/.f64 (/.f64 (/.f64 #s(literal 16 binary64) (fma.f64 i (*.f64 i (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64))) (+.f64 (/.f64 #s(literal -4 binary64) (fma.f64 i i #s(literal 0 binary64))) #s(literal -16 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 256 binary64) (+.f64 (/.f64 #s(literal -4 binary64) (fma.f64 i i #s(literal 0 binary64))) #s(literal -16 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 #s(literal 16 binary64) (fma.f64 i (.f64 i (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64))) (.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -4 binary64) (fma.f64 i i #s(literal 0 binary64))) #s(literal -16 binary64)))) (/.f64 #s(literal 256 binary64) (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -4 binary64) (fma.f64 i i #s(literal 0 binary64))) #s(literal -16 binary64)))))
(-.f64 (/.f64 #s(literal 256 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (fma.f64 i i #s(literal 0 binary64))))) (/.f64 (/.f64 #s(literal 16 binary64) (fma.f64 i (*.f64 i (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64))) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (fma.f64 i i #s(literal 0 binary64))))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (fma.f64 i i #s(literal 0 binary64))) #s(literal 16 binary64))
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(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 i i #s(literal 0 binary64))) (fma.f64 i (.f64 i (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal -1/64 binary64)) (fma.f64 i (.f64 i (fma.f64 i i #s(literal 0 binary64))) (-.f64 #s(literal 1/16 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 i i #s(literal 0 binary64))) #s(literal -1/4 binary64)))))
(pow.f64 (/.f64 (fma.f64 (fma.f64 i i #s(literal 0 binary64)) (fma.f64 i i #s(literal -1/4 binary64)) #s(literal 1/16 binary64)) (-.f64 #s(literal -1/64 binary64) (fma.f64 (.f64 i (fma.f64 i i #s(literal 0 binary64))) (.f64 i (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 i i #s(literal -1/4 binary64)) (-.f64 #s(literal 1/16 binary64) (fma.f64 i (*.f64 i (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64)))) #s(literal -1 binary64))
(.f64 (-.f64 #s(literal -1/64 binary64) (fma.f64 (.f64 i (fma.f64 i i #s(literal 0 binary64))) (*.f64 i (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 i i #s(literal 0 binary64)) (fma.f64 i i #s(literal -1/4 binary64)) #s(literal 1/16 binary64))))
(.f64 (-.f64 #s(literal 1/16 binary64) (fma.f64 i (.f64 i (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 i i #s(literal -1/4 binary64))))

simplify804.0ms (9.5%)

Memory

-114.2MiB live, 558.0MiB allocated

Algorithm

1×	egg-herbie

Rules

13 242×	`accelerator-lowering-fma.f32`
13 242×	`accelerator-lowering-fma.f64`
3 612×	`-lowering-.f32`
3 612×	`-lowering-.f64`
1 468×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	777
1	142	777
2	392	722
3	1213	718
4	2717	718
5	5357	718
0	8033	712

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

Calls

Call 1

Inputs
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(/ -4 (pow i 2))
(/ (- (* 16 (pow i 2)) 4) (pow i 2))
(/ (- (* 16 (pow i 2)) 4) (pow i 2))
(/ (- (* 16 (pow i 2)) 4) (pow i 2))
16
(- 16 (* 4 (/ 1 (pow i 2))))
(- 16 (* 4 (/ 1 (pow i 2))))
(- 16 (* 4 (/ 1 (pow i 2))))
16
(- 16 (* 4 (/ 1 (pow i 2))))
(- 16 (* 4 (/ 1 (pow i 2))))
(- 16 (* 4 (/ 1 (pow i 2))))
(/ -4 (pow i 2))
(/ -4 (pow i 2))
(/ -4 (pow i 2))
(/ -4 (pow i 2))
(/ -4 (pow i 2))
(/ -4 (pow i 2))
(/ -4 (pow i 2))
(/ -4 (pow i 2))
(/ -4 (pow i 2))
(/ -4 (pow i 2))
(/ -4 (pow i 2))
(/ -4 (pow i 2))
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(/ 1/64 (pow i 2))
(/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))
(/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))
(/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(/ 1/64 (pow i 2))
(/ 1/64 (pow i 2))
(/ 1/64 (pow i 2))
(/ 1/64 (pow i 2))
(/ 1/64 (pow i 2))
(/ 1/64 (pow i 2))
(/ 1/64 (pow i 2))
(/ 1/64 (pow i 2))
(/ 1/64 (pow i 2))
(/ 1/64 (pow i 2))
(/ 1/64 (pow i 2))
(/ 1/64 (pow i 2))
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* -1 (pow i 4))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (pow i 4))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
-1/4
(- (* -1 (pow i 2)) 1/4)
(- (* -1 (pow i 2)) 1/4)
(- (* -1 (pow i 2)) 1/4)
(* -1 (pow i 2))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (pow i 2))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))

Outputs
(* -1/4 (pow i 2))
(fma.f64 #s(literal -1/4 binary64) (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(fma.f64 (fma.f64 i i #s(literal 0 binary64)) (-.f64 #s(literal -1/4 binary64) (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(fma.f64 (fma.f64 i i #s(literal 0 binary64)) (fma.f64 (fma.f64 i i #s(literal 0 binary64)) (fma.f64 i (*.f64 i #s(literal -4 binary64)) #s(literal -1 binary64)) #s(literal -1/4 binary64)) #s(literal 0 binary64))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(fma.f64 (fma.f64 i i #s(literal 0 binary64)) (fma.f64 (fma.f64 i i #s(literal 0 binary64)) (fma.f64 (fma.f64 i i #s(literal 0 binary64)) (fma.f64 i (*.f64 i #s(literal -16 binary64)) #s(literal -4 binary64)) #s(literal -1 binary64)) #s(literal -1/4 binary64)) #s(literal 0 binary64))
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (fma.f64 i i #s(literal 0 binary64))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+.f64 (/.f64 #s(literal 1/64 binary64) (fma.f64 i i #s(literal 0 binary64))) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/256 binary64) (fma.f64 (fma.f64 i i #s(literal 0 binary64)) (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/256 binary64) (fma.f64 (fma.f64 i i #s(literal 0 binary64)) (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64))) (+.f64 (/.f64 #s(literal 1/64 binary64) (fma.f64 i i #s(literal 0 binary64))) (/.f64 #s(literal 1/1024 binary64) (*.f64 (fma.f64 i i #s(literal 0 binary64)) (fma.f64 (fma.f64 i i #s(literal 0 binary64)) (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64)))))))
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (fma.f64 i i #s(literal 0 binary64))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+.f64 (/.f64 #s(literal 1/64 binary64) (fma.f64 i i #s(literal 0 binary64))) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/256 binary64) (fma.f64 (fma.f64 i i #s(literal 0 binary64)) (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/256 binary64) (fma.f64 (fma.f64 i i #s(literal 0 binary64)) (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64))) (+.f64 (/.f64 #s(literal 1/64 binary64) (fma.f64 i i #s(literal 0 binary64))) (/.f64 #s(literal 1/1024 binary64) (*.f64 (fma.f64 i i #s(literal 0 binary64)) (fma.f64 (fma.f64 i i #s(literal 0 binary64)) (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64)))))))
(/ -4 (pow i 2))
(/.f64 #s(literal -4 binary64) (fma.f64 i i #s(literal 0 binary64)))
(/ (- (* 16 (pow i 2)) 4) (pow i 2))
(+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (fma.f64 i i #s(literal 0 binary64))))
(/ (- (* 16 (pow i 2)) 4) (pow i 2))
(+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (fma.f64 i i #s(literal 0 binary64))))
(/ (- (* 16 (pow i 2)) 4) (pow i 2))
(+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (fma.f64 i i #s(literal 0 binary64))))
16
#s(literal 16 binary64)
(- 16 (* 4 (/ 1 (pow i 2))))
(+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (fma.f64 i i #s(literal 0 binary64))))
(- 16 (* 4 (/ 1 (pow i 2))))
(+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (fma.f64 i i #s(literal 0 binary64))))
(- 16 (* 4 (/ 1 (pow i 2))))
(+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (fma.f64 i i #s(literal 0 binary64))))
16
#s(literal 16 binary64)
(- 16 (* 4 (/ 1 (pow i 2))))
(+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (fma.f64 i i #s(literal 0 binary64))))
(- 16 (* 4 (/ 1 (pow i 2))))
(+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (fma.f64 i i #s(literal 0 binary64))))
(- 16 (* 4 (/ 1 (pow i 2))))
(+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (fma.f64 i i #s(literal 0 binary64))))
(/ -4 (pow i 2))
(/.f64 #s(literal -4 binary64) (fma.f64 i i #s(literal 0 binary64)))
(/ -4 (pow i 2))
(/.f64 #s(literal -4 binary64) (fma.f64 i i #s(literal 0 binary64)))
(/ -4 (pow i 2))
(/.f64 #s(literal -4 binary64) (fma.f64 i i #s(literal 0 binary64)))
(/ -4 (pow i 2))
(/.f64 #s(literal -4 binary64) (fma.f64 i i #s(literal 0 binary64)))
(/ -4 (pow i 2))
(/.f64 #s(literal -4 binary64) (fma.f64 i i #s(literal 0 binary64)))
(/ -4 (pow i 2))
(/.f64 #s(literal -4 binary64) (fma.f64 i i #s(literal 0 binary64)))
(/ -4 (pow i 2))
(/.f64 #s(literal -4 binary64) (fma.f64 i i #s(literal 0 binary64)))
(/ -4 (pow i 2))
(/.f64 #s(literal -4 binary64) (fma.f64 i i #s(literal 0 binary64)))
(/ -4 (pow i 2))
(/.f64 #s(literal -4 binary64) (fma.f64 i i #s(literal 0 binary64)))
(/ -4 (pow i 2))
(/.f64 #s(literal -4 binary64) (fma.f64 i i #s(literal 0 binary64)))
(/ -4 (pow i 2))
(/.f64 #s(literal -4 binary64) (fma.f64 i i #s(literal 0 binary64)))
(/ -4 (pow i 2))
(/.f64 #s(literal -4 binary64) (fma.f64 i i #s(literal 0 binary64)))
(pow i 2)
(fma.f64 i i #s(literal 0 binary64))
(pow i 2)
(fma.f64 i i #s(literal 0 binary64))
(pow i 2)
(fma.f64 i i #s(literal 0 binary64))
(pow i 2)
(fma.f64 i i #s(literal 0 binary64))
(pow i 2)
(fma.f64 i i #s(literal 0 binary64))
(pow i 2)
(fma.f64 i i #s(literal 0 binary64))
(pow i 2)
(fma.f64 i i #s(literal 0 binary64))
(pow i 2)
(fma.f64 i i #s(literal 0 binary64))
(pow i 2)
(fma.f64 i i #s(literal 0 binary64))
(pow i 2)
(fma.f64 i i #s(literal 0 binary64))
(pow i 2)
(fma.f64 i i #s(literal 0 binary64))
(pow i 2)
(fma.f64 i i #s(literal 0 binary64))
(* -1/4 (pow i 2))
(fma.f64 #s(literal -1/4 binary64) (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1/4 (pow i 2))
(fma.f64 #s(literal -1/4 binary64) (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1/4 (pow i 2))
(fma.f64 #s(literal -1/4 binary64) (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1/4 (pow i 2))
(fma.f64 #s(literal -1/4 binary64) (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1/4 (pow i 2))
(fma.f64 #s(literal -1/4 binary64) (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1/4 (pow i 2))
(fma.f64 #s(literal -1/4 binary64) (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1/4 (pow i 2))
(fma.f64 #s(literal -1/4 binary64) (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1/4 (pow i 2))
(fma.f64 #s(literal -1/4 binary64) (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1/4 (pow i 2))
(fma.f64 #s(literal -1/4 binary64) (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1/4 (pow i 2))
(fma.f64 #s(literal -1/4 binary64) (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1/4 (pow i 2))
(fma.f64 #s(literal -1/4 binary64) (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1/4 (pow i 2))
(fma.f64 #s(literal -1/4 binary64) (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1/4 i)
(fma.f64 #s(literal -1/4 binary64) i #s(literal 0 binary64))
(* -1/4 i)
(fma.f64 #s(literal -1/4 binary64) i #s(literal 0 binary64))
(* -1/4 i)
(fma.f64 #s(literal -1/4 binary64) i #s(literal 0 binary64))
(* -1/4 i)
(fma.f64 #s(literal -1/4 binary64) i #s(literal 0 binary64))
(* -1/4 i)
(fma.f64 #s(literal -1/4 binary64) i #s(literal 0 binary64))
(* -1/4 i)
(fma.f64 #s(literal -1/4 binary64) i #s(literal 0 binary64))
(* -1/4 i)
(fma.f64 #s(literal -1/4 binary64) i #s(literal 0 binary64))
(* -1/4 i)
(fma.f64 #s(literal -1/4 binary64) i #s(literal 0 binary64))
(* -1/4 i)
(fma.f64 #s(literal -1/4 binary64) i #s(literal 0 binary64))
(* -1/4 i)
(fma.f64 #s(literal -1/4 binary64) i #s(literal 0 binary64))
(* -1/4 i)
(fma.f64 #s(literal -1/4 binary64) i #s(literal 0 binary64))
(* -1/4 i)
(fma.f64 #s(literal -1/4 binary64) i #s(literal 0 binary64))
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (fma.f64 i i #s(literal 0 binary64)))
(/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))
(/.f64 (fma.f64 i (*.f64 i #s(literal 1/16 binary64)) #s(literal 1/64 binary64)) (fma.f64 i i #s(literal 0 binary64)))
(/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))
(/.f64 (fma.f64 i (*.f64 i #s(literal 1/16 binary64)) #s(literal 1/64 binary64)) (fma.f64 i i #s(literal 0 binary64)))
(/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))
(/.f64 (fma.f64 i (*.f64 i #s(literal 1/16 binary64)) #s(literal 1/64 binary64)) (fma.f64 i i #s(literal 0 binary64)))
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (fma.f64 i i #s(literal 0 binary64))))
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (fma.f64 i i #s(literal 0 binary64))))
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (fma.f64 i i #s(literal 0 binary64))))
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (fma.f64 i i #s(literal 0 binary64))))
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (fma.f64 i i #s(literal 0 binary64))))
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (fma.f64 i i #s(literal 0 binary64))))
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (fma.f64 i i #s(literal 0 binary64)))
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (fma.f64 i i #s(literal 0 binary64)))
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (fma.f64 i i #s(literal 0 binary64)))
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (fma.f64 i i #s(literal 0 binary64)))
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (fma.f64 i i #s(literal 0 binary64)))
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (fma.f64 i i #s(literal 0 binary64)))
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (fma.f64 i i #s(literal 0 binary64)))
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (fma.f64 i i #s(literal 0 binary64)))
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (fma.f64 i i #s(literal 0 binary64)))
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (fma.f64 i i #s(literal 0 binary64)))
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (fma.f64 i i #s(literal 0 binary64)))
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (fma.f64 i i #s(literal 0 binary64)))
(pow i 2)
(fma.f64 i i #s(literal 0 binary64))
(pow i 2)
(fma.f64 i i #s(literal 0 binary64))
(pow i 2)
(fma.f64 i i #s(literal 0 binary64))
(pow i 2)
(fma.f64 i i #s(literal 0 binary64))
(pow i 2)
(fma.f64 i i #s(literal 0 binary64))
(pow i 2)
(fma.f64 i i #s(literal 0 binary64))
(pow i 2)
(fma.f64 i i #s(literal 0 binary64))
(pow i 2)
(fma.f64 i i #s(literal 0 binary64))
(pow i 2)
(fma.f64 i i #s(literal 0 binary64))
(pow i 2)
(fma.f64 i i #s(literal 0 binary64))
(pow i 2)
(fma.f64 i i #s(literal 0 binary64))
(pow i 2)
(fma.f64 i i #s(literal 0 binary64))
(* -1/4 (pow i 2))
(fma.f64 #s(literal -1/4 binary64) (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(fma.f64 (fma.f64 i i #s(literal 0 binary64)) (-.f64 #s(literal -1/4 binary64) (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(fma.f64 (fma.f64 i i #s(literal 0 binary64)) (-.f64 #s(literal -1/4 binary64) (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(fma.f64 (fma.f64 i i #s(literal 0 binary64)) (-.f64 #s(literal -1/4 binary64) (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64))
(* -1 (pow i 4))
(-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 i i #s(literal 0 binary64)) (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64)))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(fma.f64 (fma.f64 i i #s(literal 0 binary64)) (-.f64 #s(literal -1/4 binary64) (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(fma.f64 (fma.f64 i i #s(literal 0 binary64)) (-.f64 #s(literal -1/4 binary64) (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(fma.f64 (fma.f64 i i #s(literal 0 binary64)) (-.f64 #s(literal -1/4 binary64) (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64))
(* -1 (pow i 4))
(-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 i i #s(literal 0 binary64)) (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64)))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(fma.f64 (fma.f64 i i #s(literal 0 binary64)) (-.f64 #s(literal -1/4 binary64) (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(fma.f64 (fma.f64 i i #s(literal 0 binary64)) (-.f64 #s(literal -1/4 binary64) (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(fma.f64 (fma.f64 i i #s(literal 0 binary64)) (-.f64 #s(literal -1/4 binary64) (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64))
-1/4
#s(literal -1/4 binary64)
(- (* -1 (pow i 2)) 1/4)
(-.f64 #s(literal -1/4 binary64) (fma.f64 i i #s(literal 0 binary64)))
(- (* -1 (pow i 2)) 1/4)
(-.f64 #s(literal -1/4 binary64) (fma.f64 i i #s(literal 0 binary64)))
(- (* -1 (pow i 2)) 1/4)
(-.f64 #s(literal -1/4 binary64) (fma.f64 i i #s(literal 0 binary64)))
(* -1 (pow i 2))
(-.f64 #s(literal 0 binary64) (fma.f64 i i #s(literal 0 binary64)))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(-.f64 #s(literal -1/4 binary64) (fma.f64 i i #s(literal 0 binary64)))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(-.f64 #s(literal -1/4 binary64) (fma.f64 i i #s(literal 0 binary64)))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(-.f64 #s(literal -1/4 binary64) (fma.f64 i i #s(literal 0 binary64)))
(* -1 (pow i 2))
(-.f64 #s(literal 0 binary64) (fma.f64 i i #s(literal 0 binary64)))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(-.f64 #s(literal -1/4 binary64) (fma.f64 i i #s(literal 0 binary64)))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(-.f64 #s(literal -1/4 binary64) (fma.f64 i i #s(literal 0 binary64)))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(-.f64 #s(literal -1/4 binary64) (fma.f64 i i #s(literal 0 binary64)))

eval314.0ms (3.7%)

Memory: 26.0MiB live, 520.0MiB allocated
Compiler: Compiled 55 917 to 3 429 computations (93.9% saved)

prune259.0ms (3.1%)

Memory

-0.2MiB live, 523.9MiB allocated

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	1 821	3	1 824
Fresh	0	2	2
Picked	3	2	5
Done	0	0	0
Total	1 824	7	1 831

Accuracy

100.0%

Counts

1 831 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.1%	(fma.f64 i (*.f64 i #s(literal -1/4 binary64)) #s(literal 0 binary64))
▶	79.3%	(/.f64 (.f64 (.f64 i i) #s(literal -1/4 binary64)) (fma.f64 i (*.f64 i #s(literal -4 binary64)) #s(literal 1 binary64)))
✓	98.9%	(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal 16 binary64)))
▶	47.2%	(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
▶	53.2%	(.f64 (.f64 (-.f64 #s(literal -1/4 binary64) (fma.f64 i i #s(literal 0 binary64))) i) i)
▶	79.8%	(.f64 i (.f64 i (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))))
✓	47.4%	#s(literal 1/16 binary64)

Compiler

Compiled 116 to 82 computations (29.3% saved)

simplify115.0ms (1.4%)

Memory

0.8MiB live, 118.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-64	(*.f64 i i)
✓	cost-diff	-64	(.f64 (.f64 i i) #s(literal -1/4 binary64))
✓	cost-diff	0	(fma.f64 i (*.f64 i #s(literal -4 binary64)) #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 (.f64 (.f64 i i) #s(literal -1/4 binary64)) (fma.f64 i (*.f64 i #s(literal -4 binary64)) #s(literal 1 binary64)))
✓	cost-diff	-64	(*.f64 i i)
✓	cost-diff	0	(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
✓	cost-diff	0	(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
✓	cost-diff	-64	(*.f64 (-.f64 #s(literal -1/4 binary64) (fma.f64 i i #s(literal 0 binary64))) i)
✓	cost-diff	-64	(.f64 (.f64 (-.f64 #s(literal -1/4 binary64) (fma.f64 i i #s(literal 0 binary64))) i) i)
✓	cost-diff	0	(fma.f64 i i #s(literal 0 binary64))
✓	cost-diff	0	(-.f64 #s(literal -1/4 binary64) (fma.f64 i i #s(literal 0 binary64)))
✓	cost-diff	-64	(*.f64 i #s(literal -1/4 binary64))
✓	cost-diff	0	(fma.f64 i (*.f64 i #s(literal -1/4 binary64)) #s(literal 0 binary64))
✓	cost-diff	-64	(.f64 i (/.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))))
✓	cost-diff	-64	(.f64 i (.f64 i (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))))
✓	cost-diff	0	(fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))

Rules

1 080×	`accelerator-lowering-fma.f32`
1 080×	`accelerator-lowering-fma.f64`
808×	`-lowering-.f32`
808×	`-lowering-.f64`
388×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	138
1	64	138
2	120	138
3	217	138
4	326	138
5	382	138
6	460	138
7	546	138
8	722	138
9	987	138
10	1611	138
11	1937	138
12	2565	138
13	2688	138
14	2821	138
15	2905	138
16	2935	138
17	2953	138
18	2955	138
0	2955	132

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* i (* i (/ 1/4 (+ (* (* i i) 4) -1))))
i
(* i (/ 1/4 (+ (* (* i i) 4) -1)))
(/ 1/4 (+ (* (* i i) 4) -1))
1/4
(+ (* (* i i) 4) -1)
(* i i)
4
-1
(+ (* i (* i -1/4)) 0)
i
(* i -1/4)
-1/4
0
(* (* (- -1/4 (+ (* i i) 0)) i) i)
(* (- -1/4 (+ (* i i) 0)) i)
(- -1/4 (+ (* i i) 0))
-1/4
(+ (* i i) 0)
i
0
(+ 1/16 (/ 1/64 (* i i)))
1/16
(/ 1/64 (* i i))
1/64
(* i i)
i
(/ (* (* i i) -1/4) (+ (* i (* i -4)) 1))
(* (* i i) -1/4)
(* i i)
i
-1/4
(+ (* i (* i -4)) 1)
(* i -4)
-4
1

Outputs
(* i (* i (/ 1/4 (+ (* (* i i) 4) -1))))
(fma.f64 (fma.f64 i #s(literal -1/4 binary64) #s(literal 0 binary64)) (/.f64 i (fma.f64 (fma.f64 i i #s(literal 0 binary64)) #s(literal -4 binary64) #s(literal 1 binary64))) #s(literal 0 binary64))
i
(* i (/ 1/4 (+ (* (* i i) 4) -1)))
(fma.f64 #s(literal 1/4 binary64) (/.f64 i (fma.f64 (fma.f64 i i #s(literal 0 binary64)) #s(literal 4 binary64) #s(literal -1 binary64))) #s(literal 0 binary64))
(/ 1/4 (+ (* (* i i) 4) -1))
(/.f64 #s(literal 1/4 binary64) (fma.f64 (fma.f64 i i #s(literal 0 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)))
1/4
#s(literal 1/4 binary64)
(+ (* (* i i) 4) -1)
(fma.f64 (fma.f64 i i #s(literal 0 binary64)) #s(literal 4 binary64) #s(literal -1 binary64))
(* i i)
(fma.f64 i i #s(literal 0 binary64))
4
#s(literal 4 binary64)
-1
#s(literal -1 binary64)
(+ (* i (* i -1/4)) 0)
(fma.f64 i (fma.f64 i #s(literal -1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
i
(* i -1/4)
(fma.f64 i #s(literal -1/4 binary64) #s(literal 0 binary64))
-1/4
#s(literal -1/4 binary64)
0
#s(literal 0 binary64)
(* (* (- -1/4 (+ (* i i) 0)) i) i)
(fma.f64 (fma.f64 i i #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 i i #s(literal 1/4 binary64))) #s(literal 0 binary64))
(* (- -1/4 (+ (* i i) 0)) i)
(fma.f64 i (-.f64 #s(literal 0 binary64) (fma.f64 i i #s(literal 1/4 binary64))) #s(literal 0 binary64))
(- -1/4 (+ (* i i) 0))
(-.f64 #s(literal 0 binary64) (fma.f64 i i #s(literal 1/4 binary64)))
-1/4
#s(literal -1/4 binary64)
(+ (* i i) 0)
(fma.f64 i i #s(literal 0 binary64))
i
0
#s(literal 0 binary64)
(+ 1/16 (/ 1/64 (* i i)))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (fma.f64 i i #s(literal 0 binary64))))
1/16
#s(literal 1/16 binary64)
(/ 1/64 (* i i))
(/.f64 #s(literal 1/64 binary64) (fma.f64 i i #s(literal 0 binary64)))
1/64
#s(literal 1/64 binary64)
(* i i)
(fma.f64 i i #s(literal 0 binary64))
i
(/ (* (* i i) -1/4) (+ (* i (* i -4)) 1))
(fma.f64 (fma.f64 i #s(literal -1/4 binary64) #s(literal 0 binary64)) (/.f64 i (fma.f64 (fma.f64 i i #s(literal 0 binary64)) #s(literal -4 binary64) #s(literal 1 binary64))) #s(literal 0 binary64))
(* (* i i) -1/4)
(fma.f64 i (fma.f64 i #s(literal -1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* i i)
(fma.f64 i i #s(literal 0 binary64))
i
-1/4
#s(literal -1/4 binary64)
(+ (* i (* i -4)) 1)
(fma.f64 (fma.f64 i i #s(literal 0 binary64)) #s(literal -4 binary64) #s(literal 1 binary64))
(* i -4)
(fma.f64 i #s(literal -4 binary64) #s(literal 0 binary64))
-4
#s(literal -4 binary64)
1
#s(literal 1 binary64)

localize82.0ms (1%)

Memory

0.6MiB live, 170.7MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 (.f64 i i) #s(literal -1/4 binary64))
✓	accuracy	100.0%	(*.f64 i i)
✓	accuracy	100.0%	(*.f64 i #s(literal -4 binary64))
✓	accuracy	79.9%	(/.f64 (.f64 (.f64 i i) #s(literal -1/4 binary64)) (fma.f64 i (*.f64 i #s(literal -4 binary64)) #s(literal 1 binary64)))
✓	accuracy	100.0%	(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
✓	accuracy	100.0%	(*.f64 i i)
✓	accuracy	99.5%	(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
✓	accuracy	100.0%	(fma.f64 i i #s(literal 0 binary64))
✓	accuracy	100.0%	(-.f64 #s(literal -1/4 binary64) (fma.f64 i i #s(literal 0 binary64)))
✓	accuracy	100.0%	(*.f64 (-.f64 #s(literal -1/4 binary64) (fma.f64 i i #s(literal 0 binary64))) i)
✓	accuracy	100.0%	(.f64 (.f64 (-.f64 #s(literal -1/4 binary64) (fma.f64 i i #s(literal 0 binary64))) i) i)
✓	accuracy	100.0%	(fma.f64 i (*.f64 i #s(literal -1/4 binary64)) #s(literal 0 binary64))
✓	accuracy	100.0%	(*.f64 i #s(literal -1/4 binary64))
✓	accuracy	100.0%	(*.f64 i i)
✓	accuracy	99.9%	(.f64 i (.f64 i (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))))
✓	accuracy	99.6%	(/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
✓	accuracy	81.0%	(.f64 i (/.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))))

Samples

47.0ms

256×

valid

Compiler

Compiled 139 to 32 computations (77% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-mult: 15.0ms (46.8% of total)

ival-div: 9.0ms (28.1% of total)

ival-add: 5.0ms (15.6% of total)

ival-sub: 1.0ms (3.1% of total)

exact: 1.0ms (3.1% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory

19.2MiB live, 19.2MiB allocated

Counts

17 → 204

Calls

Call 1

Inputs
#<alt (/ 1/4 (+ (* (* i i) 4) -1))>
#<alt (+ (* (* i i) 4) -1)>
#<alt (* i (* i (/ 1/4 (+ (* (* i i) 4) -1))))>
#<alt (* i (/ 1/4 (+ (* (* i i) 4) -1)))>
#<alt (+ (* i (* i -1/4)) 0)>
#<alt (* i -1/4)>
#<alt (- -1/4 (+ (* i i) 0))>
#<alt (+ (* i i) 0)>
#<alt (* (* (- -1/4 (+ (* i i) 0)) i) i)>
#<alt (* (- -1/4 (+ (* i i) 0)) i)>
#<alt (+ 1/16 (/ 1/64 (* i i)))>
#<alt (/ 1/64 (* i i))>
#<alt (* i i)>
#<alt (/ (* (* i i) -1/4) (+ (* i (* i -4)) 1))>
#<alt (+ (* i (* i -4)) 1)>
#<alt (* (* i i) -1/4)>
#<alt (* i -4)>

Outputs
#<alt -1/4>
#<alt (- (* -1 (pow i 2)) 1/4)>
#<alt (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4)>
#<alt (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4)>
#<alt (/ 1/16 (pow i 2))>
#<alt (/ (+ 1/16 (* 1/64 (/ 1 (pow i 2)))) (pow i 2))>
#<alt (/ (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) (pow i 2))>
#<alt (/ (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6)))))) (pow i 2))>
#<alt (/ 1/16 (pow i 2))>
#<alt (/ (+ 1/16 (* 1/64 (/ 1 (pow i 2)))) (pow i 2))>
#<alt (/ (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) (pow i 2))>
#<alt (/ (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6)))))) (pow i 2))>
#<alt -1>
#<alt (- (* 4 (pow i 2)) 1)>
#<alt (- (* 4 (pow i 2)) 1)>
#<alt (- (* 4 (pow i 2)) 1)>
#<alt (* 4 (pow i 2))>
#<alt (* (pow i 2) (- 4 (/ 1 (pow i 2))))>
#<alt (* (pow i 2) (- 4 (/ 1 (pow i 2))))>
#<alt (* (pow i 2) (- 4 (/ 1 (pow i 2))))>
#<alt (* 4 (pow i 2))>
#<alt (* (pow i 2) (- 4 (/ 1 (pow i 2))))>
#<alt (* (pow i 2) (- 4 (/ 1 (pow i 2))))>
#<alt (* (pow i 2) (- 4 (/ 1 (pow i 2))))>
#<alt (* -1/4 (pow i 2))>
#<alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4))>
#<alt (* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))>
#<alt (* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))>
#<alt 1/16>
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))>
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))>
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))>
#<alt 1/16>
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))>
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))>
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))>
#<alt (* -1/4 i)>
#<alt (* i (- (* -1 (pow i 2)) 1/4))>
#<alt (* i (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))>
#<alt (* i (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))>
#<alt (/ 1/16 i)>
#<alt (/ (+ 1/16 (* 1/64 (/ 1 (pow i 2)))) i)>
#<alt (/ (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) i)>
#<alt (/ (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6)))))) i)>
#<alt (/ 1/16 i)>
#<alt (/ (+ 1/16 (* 1/64 (/ 1 (pow i 2)))) i)>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/64 (* 1/256 (/ 1 (pow i 2)))) (pow i 2))) 1/16) i))>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/256 (* 1/1024 (/ 1 (pow i 2)))) (pow i 4))) (+ 1/16 (* 1/64 (/ 1 (pow i 2))))) i))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 i)>
#<alt (* -1/4 i)>
#<alt (* -1/4 i)>
#<alt (* -1/4 i)>
#<alt (* -1/4 i)>
#<alt (* -1/4 i)>
#<alt (* -1/4 i)>
#<alt (* -1/4 i)>
#<alt (* -1/4 i)>
#<alt (* -1/4 i)>
#<alt (* -1/4 i)>
#<alt (* -1/4 i)>
#<alt -1/4>
#<alt (- (* -1 (pow i 2)) 1/4)>
#<alt (- (* -1 (pow i 2)) 1/4)>
#<alt (- (* -1 (pow i 2)) 1/4)>
#<alt (* -1 (pow i 2))>
#<alt (* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (pow i 2))>
#<alt (* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (* -1/4 (pow i 2))>
#<alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4))>
#<alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4))>
#<alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4))>
#<alt (* -1 (pow i 4))>
#<alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (pow i 4))>
#<alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1/4 i)>
#<alt (* i (- (* -1 (pow i 2)) 1/4))>
#<alt (* i (- (* -1 (pow i 2)) 1/4))>
#<alt (* i (- (* -1 (pow i 2)) 1/4))>
#<alt (* -1 (pow i 3))>
#<alt (* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (pow i 3))>
#<alt (* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (/ 1/64 (pow i 2))>
#<alt (/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))>
#<alt (/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))>
#<alt (/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))>
#<alt 1/16>
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))>
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))>
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))>
#<alt 1/16>
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))>
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))>
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))>
#<alt (/ 1/64 (pow i 2))>
#<alt (/ 1/64 (pow i 2))>
#<alt (/ 1/64 (pow i 2))>
#<alt (/ 1/64 (pow i 2))>
#<alt (/ 1/64 (pow i 2))>
#<alt (/ 1/64 (pow i 2))>
#<alt (/ 1/64 (pow i 2))>
#<alt (/ 1/64 (pow i 2))>
#<alt (/ 1/64 (pow i 2))>
#<alt (/ 1/64 (pow i 2))>
#<alt (/ 1/64 (pow i 2))>
#<alt (/ 1/64 (pow i 2))>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (* -1/4 (pow i 2))>
#<alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4))>
#<alt (* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))>
#<alt (* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))>
#<alt 1/16>
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))>
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))>
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))>
#<alt 1/16>
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))>
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))>
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))>
#<alt 1>
#<alt (+ 1 (* -4 (pow i 2)))>
#<alt (+ 1 (* -4 (pow i 2)))>
#<alt (+ 1 (* -4 (pow i 2)))>
#<alt (* -4 (pow i 2))>
#<alt (* (pow i 2) (- (/ 1 (pow i 2)) 4))>
#<alt (* (pow i 2) (- (/ 1 (pow i 2)) 4))>
#<alt (* (pow i 2) (- (/ 1 (pow i 2)) 4))>
#<alt (* -4 (pow i 2))>
#<alt (* (pow i 2) (- (/ 1 (pow i 2)) 4))>
#<alt (* (pow i 2) (- (/ 1 (pow i 2)) 4))>
#<alt (* (pow i 2) (- (/ 1 (pow i 2)) 4))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -4 i)>
#<alt (* -4 i)>
#<alt (* -4 i)>
#<alt (* -4 i)>
#<alt (* -4 i)>
#<alt (* -4 i)>
#<alt (* -4 i)>
#<alt (* -4 i)>
#<alt (* -4 i)>
#<alt (* -4 i)>
#<alt (* -4 i)>
#<alt (* -4 i)>

Calls

51 calls:

Time	Variable		Point	Expression
1.0ms	i	@	inf	(* i -1/4)
0.0ms	i	@	0	(* (- -1/4 (+ (* i i) 0)) i)
0.0ms	i	@	-inf	(* i (/ 1/4 (+ (* (* i i) 4) -1)))
0.0ms	i	@	inf	(/ 1/4 (+ (* (* i i) 4) -1))
0.0ms	i	@	inf	(* (- -1/4 (+ (* i i) 0)) i)

rewrite320.0ms (3.8%)

Memory

-9.9MiB live, 613.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 194×	`accelerator-lowering-fma.f32`
4 194×	`accelerator-lowering-fma.f64`
3 860×	`/-lowering-/.f32`
3 860×	`/-lowering-/.f64`
3 212×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	115
1	167	115
2	1477	115
0	8801	108

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 849

Calls

Call 1

Inputs
(/ 1/4 (+ (* (* i i) 4) -1))
(+ (* (* i i) 4) -1)
(* i (* i (/ 1/4 (+ (* (* i i) 4) -1))))
(* i (/ 1/4 (+ (* (* i i) 4) -1)))
(+ (* i (* i -1/4)) 0)
(* i -1/4)
(- -1/4 (+ (* i i) 0))
(+ (* i i) 0)
(* (* (- -1/4 (+ (* i i) 0)) i) i)
(* (- -1/4 (+ (* i i) 0)) i)
(+ 1/16 (/ 1/64 (* i i)))
(/ 1/64 (* i i))
(* i i)
(/ (* (* i i) -1/4) (+ (* i (* i -4)) 1))
(+ (* i (* i -4)) 1)
(* (* i i) -1/4)
(* i -4)

Outputs
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/4 binary64) (fma.f64 i (*.f64 i #s(literal -4 binary64)) #s(literal 1 binary64))))
(neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 i (*.f64 i #s(literal -4 binary64)) #s(literal 1 binary64))))
(neg.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (fma.f64 i (.f64 i #s(literal -4 binary64)) #s(literal 1 binary64)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (.f64 (fma.f64 i (.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal 4 binary64))))
(/.f64 #s(literal 1/4 binary64) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (.f64 (fma.f64 i (.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal -4 binary64)))
(/.f64 #s(literal -1/4 binary64) (fma.f64 i (*.f64 i #s(literal -4 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 i (.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal 4 binary64)))
(pow.f64 (.f64 (fma.f64 i (.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64))
(.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 i (.f64 i #s(literal -4 binary64)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/4 binary64) (fma.f64 i (.f64 i #s(literal -4 binary64)) #s(literal 1 binary64))))
(.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 i (.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (fma.f64 i (.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 i (.f64 i #s(literal -4 binary64)) #s(literal 1 binary64))) #s(literal 1/4 binary64))
(.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (fma.f64 (.f64 i (fma.f64 i i #s(literal 0 binary64))) (.f64 i (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 64 binary64) #s(literal -1 binary64))) (+.f64 (fma.f64 (fma.f64 i i #s(literal 0 binary64)) (.f64 (fma.f64 i i #s(literal 0 binary64)) #s(literal 16 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 i i #s(literal 0 binary64)) #s(literal 4 binary64) #s(literal 0 binary64))))
(.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (fma.f64 i i #s(literal 0 binary64)) (.f64 (fma.f64 i i #s(literal 0 binary64)) #s(literal 16 binary64)) #s(literal -1 binary64))) (fma.f64 (fma.f64 i i #s(literal 0 binary64)) #s(literal -4 binary64) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (fma.f64 i i #s(literal 0 binary64)) (.f64 (fma.f64 i i #s(literal 0 binary64)) #s(literal 16 binary64)) #s(literal -1 binary64))) (fma.f64 (fma.f64 i i #s(literal 0 binary64)) #s(literal 4 binary64) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 (fma.f64 i (.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal 4 binary64)) #s(literal -1/2 binary64)) (pow.f64 (.f64 (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal 4 binary64)) #s(literal -1/2 binary64)))
(+.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 i i #s(literal 0 binary64)) #s(literal 4 binary64) #s(literal 0 binary64)))
(+.f64 #s(literal 0 binary64) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)))
(+.f64 (/.f64 (.f64 (fma.f64 i i #s(literal 0 binary64)) (.f64 (fma.f64 i i #s(literal 0 binary64)) #s(literal 16 binary64))) (fma.f64 (fma.f64 i i #s(literal 0 binary64)) #s(literal 4 binary64) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 i i #s(literal 0 binary64)) #s(literal -4 binary64) #s(literal -1 binary64)))))
(+.f64 (fma.f64 (fma.f64 i i #s(literal 0 binary64)) #s(literal 4 binary64) #s(literal 0 binary64)) #s(literal -1 binary64))
(-.f64 #s(literal -1 binary64) (fma.f64 i (*.f64 i #s(literal -4 binary64)) #s(literal 0 binary64)))
(-.f64 #s(literal 0 binary64) (fma.f64 i (*.f64 i #s(literal -4 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 (.f64 (fma.f64 i i #s(literal 0 binary64)) (.f64 (fma.f64 i i #s(literal 0 binary64)) #s(literal 16 binary64))) (fma.f64 (fma.f64 i i #s(literal 0 binary64)) #s(literal 4 binary64) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 i i #s(literal 0 binary64)) #s(literal -4 binary64) #s(literal -1 binary64))))
(-.f64 (fma.f64 (fma.f64 i i #s(literal 0 binary64)) #s(literal 4 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 i i #s(literal 0 binary64)) #s(literal 4 binary64) #s(literal 0 binary64)))) (/.f64 (.f64 (fma.f64 i i #s(literal 0 binary64)) (.f64 (fma.f64 i i #s(literal 0 binary64)) #s(literal 16 binary64))) (-.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 i i #s(literal 0 binary64)) #s(literal 4 binary64) #s(literal 0 binary64)))))
(-.f64 (/.f64 (/.f64 (.f64 (fma.f64 i i #s(literal 0 binary64)) (.f64 (fma.f64 i i #s(literal 0 binary64)) #s(literal 16 binary64))) (fma.f64 (fma.f64 i i #s(literal 0 binary64)) #s(literal 4 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 i i #s(literal 0 binary64)) #s(literal -4 binary64) #s(literal -1 binary64))) #s(literal 1 binary64)))
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 i (neg.f64 (*.f64 i #s(literal -4 binary64))) #s(literal -1 binary64))
(fma.f64 i (neg.f64 (.f64 (.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(fma.f64 (fma.f64 i i #s(literal 0 binary64)) #s(literal 4 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 4 binary64) (fma.f64 i i #s(literal 0 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal 4 binary64) (neg.f64 (*.f64 (fma.f64 i i #s(literal 0 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) (fma.f64 i (*.f64 i #s(literal -4 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal -4 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 i i #s(literal 0 binary64))) #s(literal -1 binary64))
(fma.f64 #s(literal -4 binary64) (*.f64 (fma.f64 i i #s(literal 0 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 i #s(literal -4 binary64)) (-.f64 #s(literal 0 binary64) i) #s(literal -1 binary64))
(fma.f64 (fma.f64 i (*.f64 i #s(literal -4 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 i i #s(literal 0 binary64)) #s(literal 4 binary64) #s(literal 0 binary64)) #s(literal -1 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 i i #s(literal 0 binary64))) #s(literal -4 binary64) #s(literal -1 binary64))
(fma.f64 (.f64 (fma.f64 i i #s(literal 0 binary64)) (.f64 (fma.f64 i i #s(literal 0 binary64)) #s(literal 16 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 i i #s(literal 0 binary64)) #s(literal -4 binary64) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 i i #s(literal 0 binary64)) #s(literal -4 binary64) #s(literal -1 binary64)))))
(fma.f64 (*.f64 i #s(literal 4 binary64)) i #s(literal -1 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) i) (*.f64 i #s(literal -4 binary64)) #s(literal -1 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) i) (.f64 (.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 (fma.f64 (fma.f64 i i #s(literal 0 binary64)) #s(literal 4 binary64) #s(literal 0 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (.f64 #s(literal 4 binary64) (fma.f64 (.f64 i (fma.f64 i i #s(literal 0 binary64))) (.f64 i (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 i (.f64 i (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64))) #s(literal -1 binary64))
(fma.f64 (.f64 #s(literal 4 binary64) (fma.f64 i (.f64 i (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 i i #s(literal 0 binary64))) #s(literal -1 binary64))
(fma.f64 (.f64 (fma.f64 (.f64 i (fma.f64 i i #s(literal 0 binary64))) (.f64 i (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 i (.f64 i (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64))) #s(literal -1 binary64))
(fma.f64 (.f64 (fma.f64 i (.f64 i (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 i i #s(literal 0 binary64))) #s(literal -1 binary64))
(fma.f64 (neg.f64 (*.f64 i #s(literal -4 binary64))) i #s(literal -1 binary64))
(neg.f64 (fma.f64 i (*.f64 i #s(literal -4 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))))
(/.f64 (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 i (*.f64 i #s(literal -4 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 i (*.f64 i #s(literal -4 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 i i #s(literal 0 binary64)) (.f64 (fma.f64 i i #s(literal 0 binary64)) #s(literal 16 binary64)) (fma.f64 (fma.f64 i i #s(literal 0 binary64)) #s(literal 4 binary64) #s(literal 0 binary64)))) (fma.f64 (fma.f64 (.f64 i (fma.f64 i i #s(literal 0 binary64))) (*.f64 i (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 64 binary64) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 i i #s(literal 0 binary64)) #s(literal 4 binary64) #s(literal 0 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 i i #s(literal 0 binary64)) (.f64 (fma.f64 i i #s(literal 0 binary64)) #s(literal 16 binary64))))))
(/.f64 (fma.f64 i (*.f64 i #s(literal -4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(/.f64 (fma.f64 (fma.f64 (.f64 i (fma.f64 i i #s(literal 0 binary64))) (.f64 i (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 64 binary64) #s(literal -1 binary64)) (+.f64 (fma.f64 (fma.f64 i i #s(literal 0 binary64)) (*.f64 (fma.f64 i i #s(literal 0 binary64)) #s(literal 16 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 i i #s(literal 0 binary64)) #s(literal 4 binary64) #s(literal 0 binary64))))
(/.f64 (fma.f64 (fma.f64 (.f64 i (fma.f64 i i #s(literal 0 binary64))) (.f64 i (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 64 binary64) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 i i #s(literal 0 binary64)) (*.f64 (fma.f64 i i #s(literal 0 binary64)) #s(literal 16 binary64)) (fma.f64 (fma.f64 i i #s(literal 0 binary64)) #s(literal 4 binary64) #s(literal 0 binary64)))))
(/.f64 (fma.f64 (fma.f64 (.f64 i (fma.f64 i i #s(literal 0 binary64))) (.f64 i (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 64 binary64) #s(literal -1 binary64)) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (fma.f64 (fma.f64 i i #s(literal 0 binary64)) (*.f64 (fma.f64 i i #s(literal 0 binary64)) #s(literal 16 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 i i #s(literal 0 binary64)) #s(literal 4 binary64) #s(literal 0 binary64))))))
(/.f64 (fma.f64 (fma.f64 (.f64 i (fma.f64 i i #s(literal 0 binary64))) (.f64 i (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 64 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (fma.f64 (fma.f64 i i #s(literal 0 binary64)) (*.f64 (fma.f64 i i #s(literal 0 binary64)) #s(literal 16 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 i i #s(literal 0 binary64)) #s(literal 4 binary64) #s(literal 0 binary64)))))
(/.f64 (fma.f64 (fma.f64 (.f64 i (fma.f64 i i #s(literal 0 binary64))) (.f64 i (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 64 binary64) #s(literal 1 binary64)) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 i i #s(literal 0 binary64)) (*.f64 (fma.f64 i i #s(literal 0 binary64)) #s(literal 16 binary64)) (fma.f64 (fma.f64 i i #s(literal 0 binary64)) #s(literal 4 binary64) #s(literal 0 binary64))))))
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(fma.f64 (.f64 #s(literal -1/4 binary64) (fma.f64 i (.f64 i (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (-.f64 #s(literal 0 binary64) i)) (*.f64 i #s(literal -1/4 binary64)) #s(literal 0 binary64))
(neg.f64 (fma.f64 #s(literal 1/4 binary64) (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/4 binary64) (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64)))))
(/.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 i i #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/4 binary64) (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/4 binary64) (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 i (.f64 i (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64)) (.f64 (fma.f64 (.f64 i (fma.f64 i i #s(literal 0 binary64))) (.f64 i (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal -1/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 i i #s(literal 0 binary64)) (.f64 (fma.f64 i (.f64 i (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal -1/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 i (.f64 i (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64)) (.f64 #s(literal -1/4 binary64) (fma.f64 (.f64 i (fma.f64 i i #s(literal 0 binary64))) (.f64 i (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 i i #s(literal 0 binary64)) (.f64 #s(literal -1/4 binary64) (fma.f64 i (.f64 i (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64)))))
(/.f64 (fma.f64 #s(literal -1/64 binary64) (fma.f64 (.f64 i (fma.f64 i i #s(literal 0 binary64))) (.f64 i (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 i i #s(literal 0 binary64)) (*.f64 (fma.f64 i i #s(literal 0 binary64)) #s(literal 1/16 binary64)) #s(literal 0 binary64)))
(/.f64 (fma.f64 #s(literal -1/64 binary64) (fma.f64 (.f64 i (fma.f64 i i #s(literal 0 binary64))) (.f64 i (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)) (neg.f64 (fma.f64 (fma.f64 i (*.f64 i (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal -1/16 binary64) #s(literal 0 binary64))))
(/.f64 (fma.f64 (fma.f64 i i #s(literal 0 binary64)) (.f64 (fma.f64 i i #s(literal 0 binary64)) #s(literal 1/16 binary64)) #s(literal 0 binary64)) (fma.f64 i (.f64 i #s(literal -1/4 binary64)) #s(literal 0 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 i (fma.f64 i i #s(literal 0 binary64))) (.f64 i (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal -1/4 binary64)) (fma.f64 i (.f64 i (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64)))
(/.f64 (.f64 (fma.f64 i (.f64 i (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal -1/4 binary64)) (fma.f64 i i #s(literal 0 binary64)))
(/.f64 (fma.f64 #s(literal 1/64 binary64) (fma.f64 (.f64 i (fma.f64 i i #s(literal 0 binary64))) (.f64 i (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 i (*.f64 i (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal -1/16 binary64) #s(literal 0 binary64)))
(/.f64 (fma.f64 (fma.f64 i (*.f64 i (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal -1/16 binary64) #s(literal 0 binary64)) (fma.f64 #s(literal 1/4 binary64) (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (fma.f64 #s(literal 1/256 binary64) (fma.f64 (fma.f64 i i #s(literal 0 binary64)) (fma.f64 (.f64 i (fma.f64 i i #s(literal 0 binary64))) (.f64 i (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 #s(literal -1/64 binary64) (fma.f64 (.f64 i (fma.f64 i i #s(literal 0 binary64))) (.f64 i (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (.f64 #s(literal -1/4 binary64) (fma.f64 (.f64 i (fma.f64 i i #s(literal 0 binary64))) (.f64 i (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64))) (fma.f64 i (.f64 i (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64)))
(/.f64 (.f64 #s(literal -1/4 binary64) (fma.f64 i (.f64 i (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64))) (fma.f64 i i #s(literal 0 binary64)))
(/.f64 (-.f64 (fma.f64 i (.f64 i #s(literal -1/4 binary64)) #s(literal 0 binary64)) (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/4 binary64) (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))) (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/4 binary64) (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 i (.f64 i #s(literal -1/4 binary64)) #s(literal 0 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 i (fma.f64 i i #s(literal 0 binary64))) (.f64 i (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal -1/4 binary64)) (fma.f64 i (.f64 i #s(literal -1/4 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) (.f64 (fma.f64 i (.f64 i (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 i (.f64 i #s(literal -1/4 binary64)) #s(literal 0 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (fma.f64 i (.f64 i (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal -1/4 binary64)) (fma.f64 i (.f64 i #s(literal -1/4 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) (.f64 (fma.f64 i i #s(literal 0 binary64)) (fma.f64 i (.f64 i #s(literal -1/4 binary64)) #s(literal 0 binary64))))
(/.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/64 binary64) (fma.f64 (.f64 i (fma.f64 i i #s(literal 0 binary64))) (.f64 i (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 i (.f64 i #s(literal -1/4 binary64)) #s(literal 0 binary64))) (.f64 (fma.f64 (fma.f64 i (.f64 i (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal -1/16 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 #s(literal 1/64 binary64) (fma.f64 (.f64 i (fma.f64 i i #s(literal 0 binary64))) (.f64 i (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (-.f64 (fma.f64 #s(literal 1/64 binary64) (fma.f64 (.f64 i (fma.f64 i i #s(literal 0 binary64))) (.f64 i (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 i (*.f64 i (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal -1/16 binary64) #s(literal 0 binary64)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal -1/4 binary64) (fma.f64 (.f64 i (fma.f64 i i #s(literal 0 binary64))) (.f64 i (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64))) (fma.f64 i (.f64 i #s(literal -1/4 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) (.f64 (fma.f64 i (.f64 i (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 i (.f64 i #s(literal -1/4 binary64)) #s(literal 0 binary64))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal -1/4 binary64) (fma.f64 i (.f64 i (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64))) (fma.f64 i (.f64 i #s(literal -1/4 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) (.f64 (fma.f64 i i #s(literal 0 binary64)) (fma.f64 i (.f64 i #s(literal -1/4 binary64)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 i (fma.f64 i i #s(literal 0 binary64))) (*.f64 i (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal -1/4 binary64))) (fma.f64 (fma.f64 i i #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64)))
(/.f64 (neg.f64 (.f64 (fma.f64 i (.f64 i (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal -1/4 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 i i #s(literal 0 binary64))))
(/.f64 (neg.f64 (fma.f64 (fma.f64 i (.f64 i (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal -1/16 binary64) #s(literal 0 binary64))) (fma.f64 i (.f64 i #s(literal -1/4 binary64)) #s(literal 0 binary64)))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/64 binary64) (fma.f64 (.f64 i (fma.f64 i i #s(literal 0 binary64))) (.f64 i (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 i i #s(literal 0 binary64)) (*.f64 (fma.f64 i i #s(literal 0 binary64)) #s(literal 1/16 binary64)) #s(literal 0 binary64)))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/64 binary64) (fma.f64 (.f64 i (fma.f64 i i #s(literal 0 binary64))) (.f64 i (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))) (neg.f64 (fma.f64 (fma.f64 i (*.f64 i (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal -1/16 binary64) #s(literal 0 binary64))))
(/.f64 (neg.f64 (.f64 #s(literal -1/4 binary64) (fma.f64 (.f64 i (fma.f64 i i #s(literal 0 binary64))) (*.f64 i (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64)))) (fma.f64 (fma.f64 i i #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64)))
(/.f64 (neg.f64 (.f64 #s(literal -1/4 binary64) (fma.f64 i (.f64 i (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) (fma.f64 i i #s(literal 0 binary64))))
(pow.f64 (fma.f64 i (*.f64 i #s(literal -1/4 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/4 binary64) (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 i i #s(literal 0 binary64))))
(.f64 i (.f64 i #s(literal -1/4 binary64)))
(*.f64 (fma.f64 i i #s(literal 0 binary64)) #s(literal -1/4 binary64))
(*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/4 binary64) (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64)))
(*.f64 #s(literal -1/4 binary64) (fma.f64 i i #s(literal 0 binary64)))
(.f64 (.f64 i #s(literal -1/4 binary64)) i)
(.f64 (.f64 i #s(literal -1/4 binary64)) (neg.f64 (-.f64 #s(literal 0 binary64) i)))
(.f64 (fma.f64 i (.f64 i #s(literal -1/4 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 i (.f64 i #s(literal -1/4 binary64)) #s(literal 0 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 i i #s(literal 0 binary64))) #s(literal 1/4 binary64))
(.f64 (fma.f64 #s(literal -1/64 binary64) (fma.f64 (.f64 i (fma.f64 i i #s(literal 0 binary64))) (.f64 i (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 i (.f64 i (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal -1/16 binary64) #s(literal 0 binary64))))
(.f64 (fma.f64 (fma.f64 i i #s(literal 0 binary64)) (.f64 (fma.f64 i i #s(literal 0 binary64)) #s(literal 1/16 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/4 binary64) (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64))))
(.f64 (.f64 #s(literal 1/4 binary64) i) (-.f64 #s(literal 0 binary64) i))
(.f64 (.f64 (fma.f64 (.f64 i (fma.f64 i i #s(literal 0 binary64))) (.f64 i (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 i (*.f64 i (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64))))
(.f64 (.f64 (fma.f64 i (*.f64 i (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 i i #s(literal 0 binary64))))
(.f64 (-.f64 #s(literal 0 binary64) i) (.f64 #s(literal 1/4 binary64) i))
(.f64 (fma.f64 #s(literal 1/64 binary64) (fma.f64 (.f64 i (fma.f64 i i #s(literal 0 binary64))) (.f64 i (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 i (.f64 i (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal -1/16 binary64) #s(literal 0 binary64))))
(.f64 (fma.f64 (fma.f64 i (.f64 i (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal -1/16 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64))))
(.f64 (.f64 #s(literal -1/4 binary64) (fma.f64 (.f64 i (fma.f64 i i #s(literal 0 binary64))) (.f64 i (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 i (*.f64 i (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64))))
(.f64 (.f64 #s(literal -1/4 binary64) (fma.f64 i (*.f64 i (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 i i #s(literal 0 binary64))))
(.f64 (neg.f64 (-.f64 #s(literal 0 binary64) i)) (.f64 i #s(literal -1/4 binary64)))
(*.f64 i #s(literal -4 binary64))
(*.f64 #s(literal -4 binary64) i)
(.f64 (.f64 i #s(literal -4 binary64)) #s(literal 1 binary64))

simplify322.0ms (3.8%)

Memory

30.8MiB live, 496.6MiB allocated

Algorithm

1×	egg-herbie

Rules

9 832×	`accelerator-lowering-fma.f32`
9 832×	`accelerator-lowering-fma.f64`
3 200×	`-lowering-.f32`
3 200×	`-lowering-.f64`
1 676×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	94	1371
1	221	1371
2	627	1337
3	1922	1320
4	5045	1320
0	8400	1287

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

Inputs
-1/4
(- (* -1 (pow i 2)) 1/4)
(- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4)
(- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4)
(/ 1/16 (pow i 2))
(/ (+ 1/16 (* 1/64 (/ 1 (pow i 2)))) (pow i 2))
(/ (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) (pow i 2))
(/ (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6)))))) (pow i 2))
(/ 1/16 (pow i 2))
(/ (+ 1/16 (* 1/64 (/ 1 (pow i 2)))) (pow i 2))
(/ (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) (pow i 2))
(/ (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6)))))) (pow i 2))
-1
(- (* 4 (pow i 2)) 1)
(- (* 4 (pow i 2)) 1)
(- (* 4 (pow i 2)) 1)
(* 4 (pow i 2))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(* 4 (pow i 2))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(* -1/4 i)
(* i (- (* -1 (pow i 2)) 1/4))
(* i (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(* i (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(/ 1/16 i)
(/ (+ 1/16 (* 1/64 (/ 1 (pow i 2)))) i)
(/ (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) i)
(/ (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6)))))) i)
(/ 1/16 i)
(/ (+ 1/16 (* 1/64 (/ 1 (pow i 2)))) i)
(* -1 (/ (- (* -1 (/ (+ 1/64 (* 1/256 (/ 1 (pow i 2)))) (pow i 2))) 1/16) i))
(* -1 (/ (- (* -1 (/ (+ 1/256 (* 1/1024 (/ 1 (pow i 2)))) (pow i 4))) (+ 1/16 (* 1/64 (/ 1 (pow i 2))))) i))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
-1/4
(- (* -1 (pow i 2)) 1/4)
(- (* -1 (pow i 2)) 1/4)
(- (* -1 (pow i 2)) 1/4)
(* -1 (pow i 2))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (pow i 2))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* -1 (pow i 4))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (pow i 4))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1/4 i)
(* i (- (* -1 (pow i 2)) 1/4))
(* i (- (* -1 (pow i 2)) 1/4))
(* i (- (* -1 (pow i 2)) 1/4))
(* -1 (pow i 3))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (pow i 3))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(/ 1/64 (pow i 2))
(/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))
(/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))
(/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(/ 1/64 (pow i 2))
(/ 1/64 (pow i 2))
(/ 1/64 (pow i 2))
(/ 1/64 (pow i 2))
(/ 1/64 (pow i 2))
(/ 1/64 (pow i 2))
(/ 1/64 (pow i 2))
(/ 1/64 (pow i 2))
(/ 1/64 (pow i 2))
(/ 1/64 (pow i 2))
(/ 1/64 (pow i 2))
(/ 1/64 (pow i 2))
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
1
(+ 1 (* -4 (pow i 2)))
(+ 1 (* -4 (pow i 2)))
(+ 1 (* -4 (pow i 2)))
(* -4 (pow i 2))
(* (pow i 2) (- (/ 1 (pow i 2)) 4))
(* (pow i 2) (- (/ 1 (pow i 2)) 4))
(* (pow i 2) (- (/ 1 (pow i 2)) 4))
(* -4 (pow i 2))
(* (pow i 2) (- (/ 1 (pow i 2)) 4))
(* (pow i 2) (- (/ 1 (pow i 2)) 4))
(* (pow i 2) (- (/ 1 (pow i 2)) 4))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -4 i)
(* -4 i)
(* -4 i)
(* -4 i)
(* -4 i)
(* -4 i)
(* -4 i)
(* -4 i)
(* -4 i)
(* -4 i)
(* -4 i)
(* -4 i)

Outputs
-1/4
#s(literal -1/4 binary64)
(- (* -1 (pow i 2)) 1/4)
(-.f64 #s(literal -1/4 binary64) (fma.f64 i i #s(literal 0 binary64)))
(- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4)
(fma.f64 (fma.f64 i i #s(literal 0 binary64)) (fma.f64 i (*.f64 i #s(literal -4 binary64)) #s(literal -1 binary64)) #s(literal -1/4 binary64))
(- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4)
(fma.f64 (fma.f64 i i #s(literal 0 binary64)) (fma.f64 (fma.f64 i i #s(literal 0 binary64)) (fma.f64 (fma.f64 i i #s(literal 0 binary64)) #s(literal -16 binary64) #s(literal -4 binary64)) #s(literal -1 binary64)) #s(literal -1/4 binary64))
(/ 1/16 (pow i 2))
(/.f64 #s(literal 1/16 binary64) (fma.f64 i i #s(literal 0 binary64)))
(/ (+ 1/16 (* 1/64 (/ 1 (pow i 2)))) (pow i 2))
(/.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (fma.f64 i i #s(literal 0 binary64)))) (fma.f64 i i #s(literal 0 binary64)))
(/ (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) (pow i 2))
(/.f64 (+.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (fma.f64 i i #s(literal 0 binary64)))) (/.f64 #s(literal 1/256 binary64) (fma.f64 i (fma.f64 i (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 i i #s(literal 0 binary64)))
(/ (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6)))))) (pow i 2))
(/.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (fma.f64 i i #s(literal 0 binary64))) (+.f64 (/.f64 #s(literal 1/256 binary64) (fma.f64 i (fma.f64 i (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/1024 binary64) (*.f64 (fma.f64 i i #s(literal 0 binary64)) (fma.f64 i (fma.f64 i (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))))) (fma.f64 i i #s(literal 0 binary64)))
(/ 1/16 (pow i 2))
(/.f64 #s(literal 1/16 binary64) (fma.f64 i i #s(literal 0 binary64)))
(/ (+ 1/16 (* 1/64 (/ 1 (pow i 2)))) (pow i 2))
(/.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (fma.f64 i i #s(literal 0 binary64)))) (fma.f64 i i #s(literal 0 binary64)))
(/ (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) (pow i 2))
(/.f64 (+.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (fma.f64 i i #s(literal 0 binary64)))) (/.f64 #s(literal 1/256 binary64) (fma.f64 i (fma.f64 i (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 i i #s(literal 0 binary64)))
(/ (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6)))))) (pow i 2))
(/.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (fma.f64 i i #s(literal 0 binary64))) (+.f64 (/.f64 #s(literal 1/256 binary64) (fma.f64 i (fma.f64 i (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/1024 binary64) (*.f64 (fma.f64 i i #s(literal 0 binary64)) (fma.f64 i (fma.f64 i (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))))) (fma.f64 i i #s(literal 0 binary64)))
-1
#s(literal -1 binary64)
(- (* 4 (pow i 2)) 1)
(fma.f64 (fma.f64 i i #s(literal 0 binary64)) #s(literal 4 binary64) #s(literal -1 binary64))
(- (* 4 (pow i 2)) 1)
(fma.f64 (fma.f64 i i #s(literal 0 binary64)) #s(literal 4 binary64) #s(literal -1 binary64))
(- (* 4 (pow i 2)) 1)
(fma.f64 (fma.f64 i i #s(literal 0 binary64)) #s(literal 4 binary64) #s(literal -1 binary64))
(* 4 (pow i 2))
(*.f64 (fma.f64 i i #s(literal 0 binary64)) #s(literal 4 binary64))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(fma.f64 (fma.f64 i i #s(literal 0 binary64)) #s(literal 4 binary64) #s(literal -1 binary64))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(fma.f64 (fma.f64 i i #s(literal 0 binary64)) #s(literal 4 binary64) #s(literal -1 binary64))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(fma.f64 (fma.f64 i i #s(literal 0 binary64)) #s(literal 4 binary64) #s(literal -1 binary64))
(* 4 (pow i 2))
(*.f64 (fma.f64 i i #s(literal 0 binary64)) #s(literal 4 binary64))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(fma.f64 (fma.f64 i i #s(literal 0 binary64)) #s(literal 4 binary64) #s(literal -1 binary64))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(fma.f64 (fma.f64 i i #s(literal 0 binary64)) #s(literal 4 binary64) #s(literal -1 binary64))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(fma.f64 (fma.f64 i i #s(literal 0 binary64)) #s(literal 4 binary64) #s(literal -1 binary64))
(* -1/4 (pow i 2))
(fma.f64 #s(literal -1/4 binary64) (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(fma.f64 (fma.f64 i i #s(literal 0 binary64)) (-.f64 #s(literal -1/4 binary64) (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(.f64 (fma.f64 i i #s(literal 0 binary64)) (fma.f64 (fma.f64 i i #s(literal 0 binary64)) (fma.f64 i (.f64 i #s(literal -4 binary64)) #s(literal -1 binary64)) #s(literal -1/4 binary64)))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(*.f64 (fma.f64 i i #s(literal 0 binary64)) (fma.f64 (fma.f64 i i #s(literal 0 binary64)) (fma.f64 (fma.f64 i i #s(literal 0 binary64)) (fma.f64 (fma.f64 i i #s(literal 0 binary64)) #s(literal -16 binary64) #s(literal -4 binary64)) #s(literal -1 binary64)) #s(literal -1/4 binary64)))
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (fma.f64 i i #s(literal 0 binary64))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (fma.f64 i i #s(literal 0 binary64)))) (/.f64 #s(literal 1/256 binary64) (fma.f64 i (fma.f64 i (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(+.f64 (/.f64 #s(literal 1/64 binary64) (fma.f64 i i #s(literal 0 binary64))) (+.f64 (/.f64 #s(literal 1/256 binary64) (fma.f64 i (fma.f64 i (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/1024 binary64) (*.f64 (fma.f64 i i #s(literal 0 binary64)) (fma.f64 i (fma.f64 i (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))))))
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (fma.f64 i i #s(literal 0 binary64))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (fma.f64 i i #s(literal 0 binary64)))) (/.f64 #s(literal 1/256 binary64) (fma.f64 i (fma.f64 i (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(+.f64 (/.f64 #s(literal 1/64 binary64) (fma.f64 i i #s(literal 0 binary64))) (+.f64 (/.f64 #s(literal 1/256 binary64) (fma.f64 i (fma.f64 i (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/1024 binary64) (*.f64 (fma.f64 i i #s(literal 0 binary64)) (fma.f64 i (fma.f64 i (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))))))
(* -1/4 i)
(fma.f64 #s(literal -1/4 binary64) i #s(literal 0 binary64))
(* i (- (* -1 (pow i 2)) 1/4))
(fma.f64 i (-.f64 #s(literal -1/4 binary64) (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64))
(* i (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(.f64 i (fma.f64 (fma.f64 i i #s(literal 0 binary64)) (fma.f64 i (.f64 i #s(literal -4 binary64)) #s(literal -1 binary64)) #s(literal -1/4 binary64)))
(* i (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(*.f64 i (fma.f64 (fma.f64 i i #s(literal 0 binary64)) (fma.f64 (fma.f64 i i #s(literal 0 binary64)) (fma.f64 (fma.f64 i i #s(literal 0 binary64)) #s(literal -16 binary64) #s(literal -4 binary64)) #s(literal -1 binary64)) #s(literal -1/4 binary64)))
(/ 1/16 i)
(/.f64 #s(literal 1/16 binary64) i)
(/ (+ 1/16 (* 1/64 (/ 1 (pow i 2)))) i)
(/.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (fma.f64 i i #s(literal 0 binary64)))) i)
(/ (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) i)
(/.f64 (+.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (fma.f64 i i #s(literal 0 binary64)))) (/.f64 #s(literal 1/256 binary64) (fma.f64 i (fma.f64 i (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) i)
(/ (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6)))))) i)
(/.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (fma.f64 i i #s(literal 0 binary64))) (+.f64 (/.f64 #s(literal 1/256 binary64) (fma.f64 i (fma.f64 i (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/1024 binary64) (*.f64 (fma.f64 i i #s(literal 0 binary64)) (fma.f64 i (fma.f64 i (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))))) i)
(/ 1/16 i)
(/.f64 #s(literal 1/16 binary64) i)
(/ (+ 1/16 (* 1/64 (/ 1 (pow i 2)))) i)
(/.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (fma.f64 i i #s(literal 0 binary64)))) i)
(* -1 (/ (- (* -1 (/ (+ 1/64 (* 1/256 (/ 1 (pow i 2)))) (pow i 2))) 1/16) i))
(/.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 (+.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1/256 binary64) (fma.f64 i i #s(literal 0 binary64)))) (fma.f64 i i #s(literal 0 binary64)))) i)
(* -1 (/ (- (* -1 (/ (+ 1/256 (* 1/1024 (/ 1 (pow i 2)))) (pow i 4))) (+ 1/16 (* 1/64 (/ 1 (pow i 2))))) i))
(/.f64 (+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/64 binary64) (fma.f64 i i #s(literal 0 binary64))) (/.f64 (+.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1/1024 binary64) (fma.f64 i i #s(literal 0 binary64)))) (fma.f64 i (fma.f64 i (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))) i)
(* -1/4 (pow i 2))
(fma.f64 #s(literal -1/4 binary64) (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1/4 (pow i 2))
(fma.f64 #s(literal -1/4 binary64) (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1/4 (pow i 2))
(fma.f64 #s(literal -1/4 binary64) (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1/4 (pow i 2))
(fma.f64 #s(literal -1/4 binary64) (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1/4 (pow i 2))
(fma.f64 #s(literal -1/4 binary64) (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1/4 (pow i 2))
(fma.f64 #s(literal -1/4 binary64) (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1/4 (pow i 2))
(fma.f64 #s(literal -1/4 binary64) (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1/4 (pow i 2))
(fma.f64 #s(literal -1/4 binary64) (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1/4 (pow i 2))
(fma.f64 #s(literal -1/4 binary64) (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1/4 (pow i 2))
(fma.f64 #s(literal -1/4 binary64) (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1/4 (pow i 2))
(fma.f64 #s(literal -1/4 binary64) (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1/4 (pow i 2))
(fma.f64 #s(literal -1/4 binary64) (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1/4 i)
(fma.f64 #s(literal -1/4 binary64) i #s(literal 0 binary64))
(* -1/4 i)
(fma.f64 #s(literal -1/4 binary64) i #s(literal 0 binary64))
(* -1/4 i)
(fma.f64 #s(literal -1/4 binary64) i #s(literal 0 binary64))
(* -1/4 i)
(fma.f64 #s(literal -1/4 binary64) i #s(literal 0 binary64))
(* -1/4 i)
(fma.f64 #s(literal -1/4 binary64) i #s(literal 0 binary64))
(* -1/4 i)
(fma.f64 #s(literal -1/4 binary64) i #s(literal 0 binary64))
(* -1/4 i)
(fma.f64 #s(literal -1/4 binary64) i #s(literal 0 binary64))
(* -1/4 i)
(fma.f64 #s(literal -1/4 binary64) i #s(literal 0 binary64))
(* -1/4 i)
(fma.f64 #s(literal -1/4 binary64) i #s(literal 0 binary64))
(* -1/4 i)
(fma.f64 #s(literal -1/4 binary64) i #s(literal 0 binary64))
(* -1/4 i)
(fma.f64 #s(literal -1/4 binary64) i #s(literal 0 binary64))
(* -1/4 i)
(fma.f64 #s(literal -1/4 binary64) i #s(literal 0 binary64))
-1/4
#s(literal -1/4 binary64)
(- (* -1 (pow i 2)) 1/4)
(-.f64 #s(literal -1/4 binary64) (fma.f64 i i #s(literal 0 binary64)))
(- (* -1 (pow i 2)) 1/4)
(-.f64 #s(literal -1/4 binary64) (fma.f64 i i #s(literal 0 binary64)))
(- (* -1 (pow i 2)) 1/4)
(-.f64 #s(literal -1/4 binary64) (fma.f64 i i #s(literal 0 binary64)))
(* -1 (pow i 2))
(-.f64 #s(literal 0 binary64) (fma.f64 i i #s(literal 0 binary64)))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(-.f64 #s(literal -1/4 binary64) (fma.f64 i i #s(literal 0 binary64)))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(-.f64 #s(literal -1/4 binary64) (fma.f64 i i #s(literal 0 binary64)))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(-.f64 #s(literal -1/4 binary64) (fma.f64 i i #s(literal 0 binary64)))
(* -1 (pow i 2))
(-.f64 #s(literal 0 binary64) (fma.f64 i i #s(literal 0 binary64)))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(-.f64 #s(literal -1/4 binary64) (fma.f64 i i #s(literal 0 binary64)))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(-.f64 #s(literal -1/4 binary64) (fma.f64 i i #s(literal 0 binary64)))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(-.f64 #s(literal -1/4 binary64) (fma.f64 i i #s(literal 0 binary64)))
(pow i 2)
(fma.f64 i i #s(literal 0 binary64))
(pow i 2)
(fma.f64 i i #s(literal 0 binary64))
(pow i 2)
(fma.f64 i i #s(literal 0 binary64))
(pow i 2)
(fma.f64 i i #s(literal 0 binary64))
(pow i 2)
(fma.f64 i i #s(literal 0 binary64))
(pow i 2)
(fma.f64 i i #s(literal 0 binary64))
(pow i 2)
(fma.f64 i i #s(literal 0 binary64))
(pow i 2)
(fma.f64 i i #s(literal 0 binary64))
(pow i 2)
(fma.f64 i i #s(literal 0 binary64))
(pow i 2)
(fma.f64 i i #s(literal 0 binary64))
(pow i 2)
(fma.f64 i i #s(literal 0 binary64))
(pow i 2)
(fma.f64 i i #s(literal 0 binary64))
(* -1/4 (pow i 2))
(fma.f64 #s(literal -1/4 binary64) (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(fma.f64 (fma.f64 i i #s(literal 0 binary64)) (-.f64 #s(literal -1/4 binary64) (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(fma.f64 (fma.f64 i i #s(literal 0 binary64)) (-.f64 #s(literal -1/4 binary64) (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(fma.f64 (fma.f64 i i #s(literal 0 binary64)) (-.f64 #s(literal -1/4 binary64) (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64))
(* -1 (pow i 4))
(fma.f64 (fma.f64 i i #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(fma.f64 (fma.f64 i i #s(literal 0 binary64)) (-.f64 #s(literal -1/4 binary64) (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(fma.f64 (fma.f64 i i #s(literal 0 binary64)) (-.f64 #s(literal -1/4 binary64) (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(fma.f64 (fma.f64 i i #s(literal 0 binary64)) (-.f64 #s(literal -1/4 binary64) (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64))
(* -1 (pow i 4))
(fma.f64 (fma.f64 i i #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(fma.f64 (fma.f64 i i #s(literal 0 binary64)) (-.f64 #s(literal -1/4 binary64) (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(fma.f64 (fma.f64 i i #s(literal 0 binary64)) (-.f64 #s(literal -1/4 binary64) (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(fma.f64 (fma.f64 i i #s(literal 0 binary64)) (-.f64 #s(literal -1/4 binary64) (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64))
(* -1/4 i)
(fma.f64 #s(literal -1/4 binary64) i #s(literal 0 binary64))
(* i (- (* -1 (pow i 2)) 1/4))
(fma.f64 i (-.f64 #s(literal -1/4 binary64) (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64))
(* i (- (* -1 (pow i 2)) 1/4))
(fma.f64 i (-.f64 #s(literal -1/4 binary64) (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64))
(* i (- (* -1 (pow i 2)) 1/4))
(fma.f64 i (-.f64 #s(literal -1/4 binary64) (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64))
(* -1 (pow i 3))
(-.f64 #s(literal 0 binary64) (fma.f64 i (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64)))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(fma.f64 i (-.f64 #s(literal -1/4 binary64) (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(fma.f64 i (-.f64 #s(literal -1/4 binary64) (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(fma.f64 i (-.f64 #s(literal -1/4 binary64) (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64))
(* -1 (pow i 3))
(-.f64 #s(literal 0 binary64) (fma.f64 i (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64)))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(fma.f64 i (-.f64 #s(literal -1/4 binary64) (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(fma.f64 i (-.f64 #s(literal -1/4 binary64) (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(fma.f64 i (-.f64 #s(literal -1/4 binary64) (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64))
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (fma.f64 i i #s(literal 0 binary64)))
(/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))
(/.f64 (fma.f64 (fma.f64 i i #s(literal 0 binary64)) #s(literal 1/16 binary64) #s(literal 1/64 binary64)) (fma.f64 i i #s(literal 0 binary64)))
(/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))
(/.f64 (fma.f64 (fma.f64 i i #s(literal 0 binary64)) #s(literal 1/16 binary64) #s(literal 1/64 binary64)) (fma.f64 i i #s(literal 0 binary64)))
(/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))
(/.f64 (fma.f64 (fma.f64 i i #s(literal 0 binary64)) #s(literal 1/16 binary64) #s(literal 1/64 binary64)) (fma.f64 i i #s(literal 0 binary64)))
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (fma.f64 i i #s(literal 0 binary64))))
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (fma.f64 i i #s(literal 0 binary64))))
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (fma.f64 i i #s(literal 0 binary64))))
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (fma.f64 i i #s(literal 0 binary64))))
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (fma.f64 i i #s(literal 0 binary64))))
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (fma.f64 i i #s(literal 0 binary64))))
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (fma.f64 i i #s(literal 0 binary64)))
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (fma.f64 i i #s(literal 0 binary64)))
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (fma.f64 i i #s(literal 0 binary64)))
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (fma.f64 i i #s(literal 0 binary64)))
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (fma.f64 i i #s(literal 0 binary64)))
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (fma.f64 i i #s(literal 0 binary64)))
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (fma.f64 i i #s(literal 0 binary64)))
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (fma.f64 i i #s(literal 0 binary64)))
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (fma.f64 i i #s(literal 0 binary64)))
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (fma.f64 i i #s(literal 0 binary64)))
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (fma.f64 i i #s(literal 0 binary64)))
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (fma.f64 i i #s(literal 0 binary64)))
(pow i 2)
(fma.f64 i i #s(literal 0 binary64))
(pow i 2)
(fma.f64 i i #s(literal 0 binary64))
(pow i 2)
(fma.f64 i i #s(literal 0 binary64))
(pow i 2)
(fma.f64 i i #s(literal 0 binary64))
(pow i 2)
(fma.f64 i i #s(literal 0 binary64))
(pow i 2)
(fma.f64 i i #s(literal 0 binary64))
(pow i 2)
(fma.f64 i i #s(literal 0 binary64))
(pow i 2)
(fma.f64 i i #s(literal 0 binary64))
(pow i 2)
(fma.f64 i i #s(literal 0 binary64))
(pow i 2)
(fma.f64 i i #s(literal 0 binary64))
(pow i 2)
(fma.f64 i i #s(literal 0 binary64))
(pow i 2)
(fma.f64 i i #s(literal 0 binary64))
(* -1/4 (pow i 2))
(fma.f64 #s(literal -1/4 binary64) (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(fma.f64 (fma.f64 i i #s(literal 0 binary64)) (-.f64 #s(literal -1/4 binary64) (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(.f64 (fma.f64 i i #s(literal 0 binary64)) (fma.f64 (fma.f64 i i #s(literal 0 binary64)) (fma.f64 i (.f64 i #s(literal -4 binary64)) #s(literal -1 binary64)) #s(literal -1/4 binary64)))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(*.f64 (fma.f64 i i #s(literal 0 binary64)) (fma.f64 (fma.f64 i i #s(literal 0 binary64)) (fma.f64 (fma.f64 i i #s(literal 0 binary64)) (fma.f64 (fma.f64 i i #s(literal 0 binary64)) #s(literal -16 binary64) #s(literal -4 binary64)) #s(literal -1 binary64)) #s(literal -1/4 binary64)))
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (fma.f64 i i #s(literal 0 binary64))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (fma.f64 i i #s(literal 0 binary64)))) (/.f64 #s(literal 1/256 binary64) (fma.f64 i (fma.f64 i (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(+.f64 (/.f64 #s(literal 1/64 binary64) (fma.f64 i i #s(literal 0 binary64))) (+.f64 (/.f64 #s(literal 1/256 binary64) (fma.f64 i (fma.f64 i (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/1024 binary64) (*.f64 (fma.f64 i i #s(literal 0 binary64)) (fma.f64 i (fma.f64 i (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))))))
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (fma.f64 i i #s(literal 0 binary64))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (fma.f64 i i #s(literal 0 binary64)))) (/.f64 #s(literal 1/256 binary64) (fma.f64 i (fma.f64 i (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(+.f64 (/.f64 #s(literal 1/64 binary64) (fma.f64 i i #s(literal 0 binary64))) (+.f64 (/.f64 #s(literal 1/256 binary64) (fma.f64 i (fma.f64 i (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/1024 binary64) (*.f64 (fma.f64 i i #s(literal 0 binary64)) (fma.f64 i (fma.f64 i (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))))))
1
#s(literal 1 binary64)
(+ 1 (* -4 (pow i 2)))
(fma.f64 i (*.f64 i #s(literal -4 binary64)) #s(literal 1 binary64))
(+ 1 (* -4 (pow i 2)))
(fma.f64 i (*.f64 i #s(literal -4 binary64)) #s(literal 1 binary64))
(+ 1 (* -4 (pow i 2)))
(fma.f64 i (*.f64 i #s(literal -4 binary64)) #s(literal 1 binary64))
(* -4 (pow i 2))
(.f64 i (.f64 i #s(literal -4 binary64)))
(* (pow i 2) (- (/ 1 (pow i 2)) 4))
(fma.f64 i (*.f64 i #s(literal -4 binary64)) #s(literal 1 binary64))
(* (pow i 2) (- (/ 1 (pow i 2)) 4))
(fma.f64 i (*.f64 i #s(literal -4 binary64)) #s(literal 1 binary64))
(* (pow i 2) (- (/ 1 (pow i 2)) 4))
(fma.f64 i (*.f64 i #s(literal -4 binary64)) #s(literal 1 binary64))
(* -4 (pow i 2))
(.f64 i (.f64 i #s(literal -4 binary64)))
(* (pow i 2) (- (/ 1 (pow i 2)) 4))
(fma.f64 i (*.f64 i #s(literal -4 binary64)) #s(literal 1 binary64))
(* (pow i 2) (- (/ 1 (pow i 2)) 4))
(fma.f64 i (*.f64 i #s(literal -4 binary64)) #s(literal 1 binary64))
(* (pow i 2) (- (/ 1 (pow i 2)) 4))
(fma.f64 i (*.f64 i #s(literal -4 binary64)) #s(literal 1 binary64))
(* -1/4 (pow i 2))
(fma.f64 #s(literal -1/4 binary64) (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1/4 (pow i 2))
(fma.f64 #s(literal -1/4 binary64) (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1/4 (pow i 2))
(fma.f64 #s(literal -1/4 binary64) (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1/4 (pow i 2))
(fma.f64 #s(literal -1/4 binary64) (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1/4 (pow i 2))
(fma.f64 #s(literal -1/4 binary64) (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1/4 (pow i 2))
(fma.f64 #s(literal -1/4 binary64) (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1/4 (pow i 2))
(fma.f64 #s(literal -1/4 binary64) (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1/4 (pow i 2))
(fma.f64 #s(literal -1/4 binary64) (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1/4 (pow i 2))
(fma.f64 #s(literal -1/4 binary64) (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1/4 (pow i 2))
(fma.f64 #s(literal -1/4 binary64) (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1/4 (pow i 2))
(fma.f64 #s(literal -1/4 binary64) (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1/4 (pow i 2))
(fma.f64 #s(literal -1/4 binary64) (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64))
(* -4 i)
(*.f64 i #s(literal -4 binary64))
(* -4 i)
(*.f64 i #s(literal -4 binary64))
(* -4 i)
(*.f64 i #s(literal -4 binary64))
(* -4 i)
(*.f64 i #s(literal -4 binary64))
(* -4 i)
(*.f64 i #s(literal -4 binary64))
(* -4 i)
(*.f64 i #s(literal -4 binary64))
(* -4 i)
(*.f64 i #s(literal -4 binary64))
(* -4 i)
(*.f64 i #s(literal -4 binary64))
(* -4 i)
(*.f64 i #s(literal -4 binary64))
(* -4 i)
(*.f64 i #s(literal -4 binary64))
(* -4 i)
(*.f64 i #s(literal -4 binary64))
(* -4 i)
(*.f64 i #s(literal -4 binary64))

eval146.0ms (1.7%)

Memory: -19.6MiB live, 277.6MiB allocated
Compiler: Compiled 25 710 to 2 322 computations (91% saved)

prune451.0ms (5.3%)

Memory

5.1MiB live, 242.6MiB allocated

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	1 171	2	1 173
Fresh	0	0	0
Picked	2	3	5
Done	0	2	2
Total	1 173	7	1 180

Accuracy

100.0%

Counts

1 180 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	79.3%	(/.f64 (.f64 (.f64 i i) #s(literal -1/4 binary64)) (fma.f64 i (*.f64 i #s(literal -4 binary64)) #s(literal 1 binary64)))
✓	98.9%	(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal 16 binary64)))
✓	47.2%	(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
▶	53.2%	(.f64 (.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i)
▶	53.1%	(.f64 (.f64 i #s(literal -1/4 binary64)) i)
✓	79.8%	(.f64 i (.f64 i (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))))
✓	47.4%	#s(literal 1/16 binary64)

Compiler

Compiled 62 to 44 computations (29% saved)

simplify88.0ms (1%)

Memory

-1.7MiB live, 37.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-64	(*.f64 i i)
✓	cost-diff	-64	(.f64 (-.f64 #s(literal -1/4 binary64) (.f64 i i)) i)
✓	cost-diff	-64	(.f64 (.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i)
✓	cost-diff	0	(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
✓	cost-diff	-64	(*.f64 i #s(literal -1/4 binary64))
✓	cost-diff	-64	(.f64 (.f64 i #s(literal -1/4 binary64)) i)

Rules

464×	`accelerator-lowering-fma.f32`
464×	`accelerator-lowering-fma.f64`
288×	`-lowering-.f32`
288×	`-lowering-.f64`
132×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	36
1	19	36
2	34	36
3	66	36
4	113	36
5	175	36
6	247	36
7	402	36
8	508	36
9	585	36
10	701	36
11	701	36
12	702	36
0	702	36

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* (* i -1/4) i)
(* i -1/4)
i
-1/4
(* (* (- -1/4 (* i i)) i) i)
(* (- -1/4 (* i i)) i)
(- -1/4 (* i i))
-1/4
(* i i)
i

Outputs
(* (* i -1/4) i)
(fma.f64 #s(literal -1/4 binary64) (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64))
(* i -1/4)
(fma.f64 i #s(literal -1/4 binary64) #s(literal 0 binary64))
i
-1/4
#s(literal -1/4 binary64)
(* (* (- -1/4 (* i i)) i) i)
(fma.f64 (fma.f64 i i #s(literal 0 binary64)) (-.f64 #s(literal -1/4 binary64) (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64))
(* (- -1/4 (* i i)) i)
(-.f64 #s(literal 0 binary64) (fma.f64 i (fma.f64 i i #s(literal 1/4 binary64)) #s(literal 0 binary64)))
(- -1/4 (* i i))
(-.f64 #s(literal -1/4 binary64) (fma.f64 i i #s(literal 0 binary64)))
-1/4
#s(literal -1/4 binary64)
(* i i)
(fma.f64 i i #s(literal 0 binary64))
i

localize31.0ms (0.4%)

Memory

-4.5MiB live, 37.2MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
✓	accuracy	100.0%	(*.f64 i i)
✓	accuracy	100.0%	(.f64 (-.f64 #s(literal -1/4 binary64) (.f64 i i)) i)
✓	accuracy	100.0%	(.f64 (.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i)
✓	accuracy	100.0%	(.f64 (.f64 i #s(literal -1/4 binary64)) i)
✓	accuracy	100.0%	(*.f64 i #s(literal -1/4 binary64))

Samples

21.0ms

256×

valid

Compiler

Compiled 38 to 10 computations (73.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 11.0ms (79.3% of total)

ival-sub: 3.0ms (21.6% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Counts

6 → 72

Calls

Call 1

Inputs
#<alt (* (* i -1/4) i)>
#<alt (* i -1/4)>
#<alt (- -1/4 (* i i))>
#<alt (* (* (- -1/4 (* i i)) i) i)>
#<alt (* (- -1/4 (* i i)) i)>
#<alt (* i i)>

Outputs
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 i)>
#<alt (* -1/4 i)>
#<alt (* -1/4 i)>
#<alt (* -1/4 i)>
#<alt (* -1/4 i)>
#<alt (* -1/4 i)>
#<alt (* -1/4 i)>
#<alt (* -1/4 i)>
#<alt (* -1/4 i)>
#<alt (* -1/4 i)>
#<alt (* -1/4 i)>
#<alt (* -1/4 i)>
#<alt -1/4>
#<alt (- (* -1 (pow i 2)) 1/4)>
#<alt (- (* -1 (pow i 2)) 1/4)>
#<alt (- (* -1 (pow i 2)) 1/4)>
#<alt (* -1 (pow i 2))>
#<alt (* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (pow i 2))>
#<alt (* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1/4 (pow i 2))>
#<alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4))>
#<alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4))>
#<alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4))>
#<alt (* -1 (pow i 4))>
#<alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (pow i 4))>
#<alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1/4 i)>
#<alt (* i (- (* -1 (pow i 2)) 1/4))>
#<alt (* i (- (* -1 (pow i 2)) 1/4))>
#<alt (* i (- (* -1 (pow i 2)) 1/4))>
#<alt (* -1 (pow i 3))>
#<alt (* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (pow i 3))>
#<alt (* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	i	@	0	(* (* i -1/4) i)
0.0ms	i	@	inf	(* (* i -1/4) i)
0.0ms	i	@	-inf	(* (* i -1/4) i)
0.0ms	i	@	inf	(- -1/4 (* i i))
0.0ms	i	@	inf	(* (* (- -1/4 (* i i)) i) i)

rewrite343.0ms (4%)

Memory

7.1MiB live, 523.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 958×	`/-lowering-/.f32`
4 958×	`/-lowering-/.f64`
4 580×	`accelerator-lowering-fma.f32`
4 580×	`accelerator-lowering-fma.f64`
4 212×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	36	32
2	197	32
3	1530	32
0	8335	32

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 460

Calls

Call 1

Inputs
(* (* i -1/4) i)
(* i -1/4)
(- -1/4 (* i i))
(* (* (- -1/4 (* i i)) i) i)
(* (- -1/4 (* i i)) i)
(* i i)

Outputs
(.f64 i (.f64 i #s(literal -1/4 binary64)))
(.f64 #s(literal -1/4 binary64) (.f64 i i))
(.f64 (.f64 i #s(literal -1/4 binary64)) i)
(.f64 (.f64 i i) #s(literal -1/4 binary64))
(*.f64 i #s(literal -1/4 binary64))
(*.f64 #s(literal -1/4 binary64) i)
(+.f64 #s(literal -1/4 binary64) (-.f64 #s(literal 0 binary64) (*.f64 i i)))
(+.f64 (-.f64 #s(literal 0 binary64) (*.f64 i i)) #s(literal -1/4 binary64))
(+.f64 (/.f64 #s(literal -1/64 binary64) (fma.f64 (.f64 i i) (fma.f64 i i #s(literal -1/4 binary64)) #s(literal 1/16 binary64))) (neg.f64 (/.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))) (fma.f64 (*.f64 i i) (fma.f64 i i #s(literal -1/4 binary64)) #s(literal 1/16 binary64)))))
(+.f64 (/.f64 #s(literal 1/16 binary64) (fma.f64 i i #s(literal -1/4 binary64))) (neg.f64 (/.f64 (.f64 i (.f64 i (*.f64 i i))) (fma.f64 i i #s(literal -1/4 binary64)))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/4 binary64) (.f64 i i)))) #s(literal -1 binary64)))
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
(-.f64 (/.f64 #s(literal -1/64 binary64) (fma.f64 (.f64 i i) (fma.f64 i i #s(literal -1/4 binary64)) #s(literal 1/16 binary64))) (/.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))) (fma.f64 (*.f64 i i) (fma.f64 i i #s(literal -1/4 binary64)) #s(literal 1/16 binary64))))
(-.f64 (/.f64 #s(literal 1/16 binary64) (fma.f64 i i #s(literal -1/4 binary64))) (/.f64 (.f64 i (.f64 i (*.f64 i i))) (fma.f64 i i #s(literal -1/4 binary64))))
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 i i) #s(literal -1/4 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 i i) (fma.f64 i i #s(literal -1/4 binary64)) #s(literal 1/16 binary64)))) (/.f64 (fma.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))) #s(literal -1/64 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 i i) (fma.f64 i i #s(literal -1/4 binary64)) #s(literal 1/16 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 i i #s(literal -1/4 binary64)))) (/.f64 (-.f64 #s(literal 1/16 binary64) (.f64 i (.f64 i (*.f64 i i)))) (-.f64 #s(literal 0 binary64) (fma.f64 i i #s(literal -1/4 binary64)))))
(-.f64 (/.f64 (/.f64 #s(literal -1/262144 binary64) (fma.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))) (fma.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))) #s(literal -1/64 binary64)) #s(literal 1/4096 binary64))) (fma.f64 (.f64 i i) (fma.f64 i i #s(literal -1/4 binary64)) #s(literal 1/16 binary64))) (/.f64 (/.f64 (.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))) (.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))))) (fma.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))) (fma.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))) #s(literal -1/64 binary64)) #s(literal 1/4096 binary64))) (fma.f64 (*.f64 i i) (fma.f64 i i #s(literal -1/4 binary64)) #s(literal 1/16 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 1/4096 binary64) (fma.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))) #s(literal -1/64 binary64))) (fma.f64 (.f64 i i) (fma.f64 i i #s(literal -1/4 binary64)) #s(literal 1/16 binary64))) (/.f64 (/.f64 (.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))))) (fma.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))) #s(literal -1/64 binary64))) (fma.f64 (*.f64 i i) (fma.f64 i i #s(literal -1/4 binary64)) #s(literal 1/16 binary64))))
(-.f64 (/.f64 #s(literal -1/64 binary64) (fma.f64 i (.f64 i (.f64 i i)) (-.f64 #s(literal 1/16 binary64) (.f64 #s(literal 1/4 binary64) (.f64 i i))))) (/.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))) (fma.f64 i (.f64 i (.f64 i i)) (-.f64 #s(literal 1/16 binary64) (.f64 #s(literal 1/4 binary64) (*.f64 i i))))))
(-.f64 (/.f64 (/.f64 #s(literal -1/262144 binary64) (fma.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))) (fma.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))) #s(literal -1/64 binary64)) #s(literal 1/4096 binary64))) (fma.f64 i (.f64 i (.f64 i i)) (-.f64 #s(literal 1/16 binary64) (.f64 #s(literal 1/4 binary64) (.f64 i i))))) (/.f64 (/.f64 (.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))) (.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))))) (fma.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))) (fma.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))) #s(literal -1/64 binary64)) #s(literal 1/4096 binary64))) (fma.f64 i (.f64 i (.f64 i i)) (-.f64 #s(literal 1/16 binary64) (.f64 #s(literal 1/4 binary64) (*.f64 i i))))))
(-.f64 (/.f64 (/.f64 #s(literal 1/4096 binary64) (fma.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))) #s(literal -1/64 binary64))) (fma.f64 i (.f64 i (.f64 i i)) (-.f64 #s(literal 1/16 binary64) (.f64 #s(literal 1/4 binary64) (.f64 i i))))) (/.f64 (/.f64 (.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))))) (fma.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))) #s(literal -1/64 binary64))) (fma.f64 i (.f64 i (.f64 i i)) (-.f64 #s(literal 1/16 binary64) (.f64 #s(literal 1/4 binary64) (*.f64 i i))))))
(-.f64 (/.f64 (/.f64 #s(literal 1/4096 binary64) (fma.f64 (.f64 i (.f64 i (.f64 i i))) (fma.f64 i (.f64 i (.f64 i i)) #s(literal 1/16 binary64)) #s(literal 1/256 binary64))) (fma.f64 i i #s(literal -1/4 binary64))) (/.f64 (/.f64 (.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))))) (fma.f64 (.f64 i (.f64 i (.f64 i i))) (fma.f64 i (.f64 i (*.f64 i i)) #s(literal 1/16 binary64)) #s(literal 1/256 binary64))) (fma.f64 i i #s(literal -1/4 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 1/256 binary64) (fma.f64 i (.f64 i (.f64 i i)) #s(literal 1/16 binary64))) (fma.f64 i i #s(literal -1/4 binary64))) (/.f64 (/.f64 (.f64 (.f64 i i) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))))) (fma.f64 i (.f64 i (*.f64 i i)) #s(literal 1/16 binary64))) (fma.f64 i i #s(literal -1/4 binary64))))
(-.f64 (/.f64 #s(literal 1/4096 binary64) (.f64 (fma.f64 (.f64 i i) (fma.f64 i i #s(literal -1/4 binary64)) #s(literal 1/16 binary64)) (fma.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))) #s(literal -1/64 binary64)))) (/.f64 (.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))))) (.f64 (fma.f64 (.f64 i i) (fma.f64 i i #s(literal -1/4 binary64)) #s(literal 1/16 binary64)) (fma.f64 (.f64 i i) (.f64 i (.f64 i (*.f64 i i))) #s(literal -1/64 binary64)))))
(-.f64 (/.f64 #s(literal 1/4096 binary64) (.f64 (fma.f64 i i #s(literal -1/4 binary64)) (fma.f64 (.f64 i (.f64 i (.f64 i i))) (fma.f64 i (.f64 i (.f64 i i)) #s(literal 1/16 binary64)) #s(literal 1/256 binary64)))) (/.f64 (.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))))) (.f64 (fma.f64 i i #s(literal -1/4 binary64)) (fma.f64 (.f64 i (.f64 i (.f64 i i))) (fma.f64 i (.f64 i (*.f64 i i)) #s(literal 1/16 binary64)) #s(literal 1/256 binary64)))))
(-.f64 (/.f64 #s(literal -1/262144 binary64) (.f64 (fma.f64 (.f64 i i) (fma.f64 i i #s(literal -1/4 binary64)) #s(literal 1/16 binary64)) (fma.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))) (fma.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))) #s(literal -1/64 binary64)) #s(literal 1/4096 binary64)))) (/.f64 (.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))) (.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))))) (.f64 (fma.f64 (.f64 i i) (fma.f64 i i #s(literal -1/4 binary64)) #s(literal 1/16 binary64)) (fma.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))) (fma.f64 (.f64 i i) (.f64 i (.f64 i (*.f64 i i))) #s(literal -1/64 binary64)) #s(literal 1/4096 binary64)))))
(-.f64 (/.f64 #s(literal 1/256 binary64) (.f64 (fma.f64 i i #s(literal -1/4 binary64)) (fma.f64 i (.f64 i (.f64 i i)) #s(literal 1/16 binary64)))) (/.f64 (.f64 (.f64 i i) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))))) (.f64 (fma.f64 i i #s(literal -1/4 binary64)) (fma.f64 i (.f64 i (*.f64 i i)) #s(literal 1/16 binary64)))))
(-.f64 (/.f64 (.f64 #s(literal -1/64 binary64) (fma.f64 (.f64 i i) (fma.f64 i i #s(literal -1/4 binary64)) #s(literal 1/16 binary64))) (.f64 (fma.f64 (.f64 i i) (fma.f64 i i #s(literal -1/4 binary64)) #s(literal 1/16 binary64)) (fma.f64 (.f64 i i) (fma.f64 i i #s(literal -1/4 binary64)) #s(literal 1/16 binary64)))) (/.f64 (.f64 (fma.f64 (.f64 i i) (fma.f64 i i #s(literal -1/4 binary64)) #s(literal 1/16 binary64)) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))))) (.f64 (fma.f64 (.f64 i i) (fma.f64 i i #s(literal -1/4 binary64)) #s(literal 1/16 binary64)) (fma.f64 (*.f64 i i) (fma.f64 i i #s(literal -1/4 binary64)) #s(literal 1/16 binary64)))))
(-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (fma.f64 i i #s(literal -1/4 binary64))) (.f64 (fma.f64 i i #s(literal -1/4 binary64)) (fma.f64 i i #s(literal -1/4 binary64)))) (/.f64 (.f64 (fma.f64 i i #s(literal -1/4 binary64)) (.f64 i (.f64 i (.f64 i i)))) (*.f64 (fma.f64 i i #s(literal -1/4 binary64)) (fma.f64 i i #s(literal -1/4 binary64)))))
(-.f64 (/.f64 (.f64 (/.f64 #s(literal -1/64 binary64) (fma.f64 (.f64 i i) (fma.f64 i i #s(literal -1/4 binary64)) #s(literal 1/16 binary64))) (.f64 (/.f64 #s(literal -1/64 binary64) (fma.f64 (.f64 i i) (fma.f64 i i #s(literal -1/4 binary64)) #s(literal 1/16 binary64))) (/.f64 #s(literal -1/64 binary64) (fma.f64 (.f64 i i) (fma.f64 i i #s(literal -1/4 binary64)) #s(literal 1/16 binary64))))) (fma.f64 (/.f64 #s(literal -1/64 binary64) (fma.f64 (.f64 i i) (fma.f64 i i #s(literal -1/4 binary64)) #s(literal 1/16 binary64))) (/.f64 #s(literal -1/64 binary64) (fma.f64 (.f64 i i) (fma.f64 i i #s(literal -1/4 binary64)) #s(literal 1/16 binary64))) (fma.f64 (/.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))) (fma.f64 (.f64 i i) (fma.f64 i i #s(literal -1/4 binary64)) #s(literal 1/16 binary64))) (/.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))) (fma.f64 (.f64 i i) (fma.f64 i i #s(literal -1/4 binary64)) #s(literal 1/16 binary64))) (.f64 (/.f64 #s(literal -1/64 binary64) (fma.f64 (.f64 i i) (fma.f64 i i #s(literal -1/4 binary64)) #s(literal 1/16 binary64))) (/.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))) (fma.f64 (.f64 i i) (fma.f64 i i #s(literal -1/4 binary64)) #s(literal 1/16 binary64))))))) (/.f64 (pow.f64 (/.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))) (fma.f64 (.f64 i i) (fma.f64 i i #s(literal -1/4 binary64)) #s(literal 1/16 binary64))) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal -1/64 binary64) (fma.f64 (.f64 i i) (fma.f64 i i #s(literal -1/4 binary64)) #s(literal 1/16 binary64))) (/.f64 #s(literal -1/64 binary64) (fma.f64 (.f64 i i) (fma.f64 i i #s(literal -1/4 binary64)) #s(literal 1/16 binary64))) (fma.f64 (/.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))) (fma.f64 (.f64 i i) (fma.f64 i i #s(literal -1/4 binary64)) #s(literal 1/16 binary64))) (/.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))) (fma.f64 (.f64 i i) (fma.f64 i i #s(literal -1/4 binary64)) #s(literal 1/16 binary64))) (.f64 (/.f64 #s(literal -1/64 binary64) (fma.f64 (.f64 i i) (fma.f64 i i #s(literal -1/4 binary64)) #s(literal 1/16 binary64))) (/.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))) (fma.f64 (*.f64 i i) (fma.f64 i i #s(literal -1/4 binary64)) #s(literal 1/16 binary64))))))))
(-.f64 (/.f64 (/.f64 #s(literal 1/4096 binary64) (.f64 (fma.f64 i i #s(literal -1/4 binary64)) (.f64 (fma.f64 i i #s(literal -1/4 binary64)) (fma.f64 i i #s(literal -1/4 binary64))))) (fma.f64 (/.f64 #s(literal 1/16 binary64) (fma.f64 i i #s(literal -1/4 binary64))) (/.f64 #s(literal 1/16 binary64) (fma.f64 i i #s(literal -1/4 binary64))) (fma.f64 (/.f64 (.f64 i (.f64 i (.f64 i i))) (fma.f64 i i #s(literal -1/4 binary64))) (/.f64 (.f64 i (.f64 i (.f64 i i))) (fma.f64 i i #s(literal -1/4 binary64))) (.f64 (/.f64 #s(literal 1/16 binary64) (fma.f64 i i #s(literal -1/4 binary64))) (/.f64 (.f64 i (.f64 i (.f64 i i))) (fma.f64 i i #s(literal -1/4 binary64))))))) (/.f64 (/.f64 (.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))))) (.f64 (fma.f64 i i #s(literal -1/4 binary64)) (.f64 (fma.f64 i i #s(literal -1/4 binary64)) (fma.f64 i i #s(literal -1/4 binary64))))) (fma.f64 (/.f64 #s(literal 1/16 binary64) (fma.f64 i i #s(literal -1/4 binary64))) (/.f64 #s(literal 1/16 binary64) (fma.f64 i i #s(literal -1/4 binary64))) (fma.f64 (/.f64 (.f64 i (.f64 i (.f64 i i))) (fma.f64 i i #s(literal -1/4 binary64))) (/.f64 (.f64 i (.f64 i (.f64 i i))) (fma.f64 i i #s(literal -1/4 binary64))) (.f64 (/.f64 #s(literal 1/16 binary64) (fma.f64 i i #s(literal -1/4 binary64))) (/.f64 (.f64 i (.f64 i (*.f64 i i))) (fma.f64 i i #s(literal -1/4 binary64))))))))
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(.f64 (/.f64 i (fma.f64 (.f64 i i) (fma.f64 i i #s(literal -1/4 binary64)) #s(literal 1/16 binary64))) (fma.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))) #s(literal -1/64 binary64)))
(.f64 (/.f64 i (fma.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))) (.f64 (fma.f64 i i #s(literal -1/4 binary64)) (.f64 (fma.f64 i i #s(literal -1/4 binary64)) (fma.f64 i i #s(literal -1/4 binary64)))) #s(literal 1/4096 binary64))) (/.f64 (fma.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))) #s(literal -1/64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 i (.f64 i (fma.f64 i i #s(literal -1/4 binary64)))) (-.f64 (.f64 i (.f64 i (fma.f64 i i #s(literal -1/4 binary64)))) #s(literal 1/16 binary64)) #s(literal 1/256 binary64)))))
(.f64 (/.f64 i (-.f64 #s(literal 1/256 binary64) (.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 (fma.f64 i i #s(literal -1/4 binary64)) (fma.f64 i i #s(literal -1/4 binary64)))))) (/.f64 (fma.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))) #s(literal -1/64 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/16 binary64) (.f64 i (.f64 i (fma.f64 i i #s(literal -1/4 binary64))))))))
(.f64 (/.f64 (-.f64 #s(literal 1/16 binary64) (.f64 i (.f64 i (.f64 i i)))) (/.f64 (-.f64 #s(literal 1/16 binary64) (.f64 i (.f64 i (.f64 i i)))) (-.f64 #s(literal 1/16 binary64) (.f64 i (.f64 i (.f64 i i)))))) (/.f64 i (fma.f64 i i #s(literal -1/4 binary64))))
(.f64 (/.f64 i (-.f64 #s(literal 1/16 binary64) (.f64 i (.f64 i (.f64 i i))))) (/.f64 (-.f64 #s(literal 1/16 binary64) (.f64 i (.f64 i (.f64 i i)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/4 binary64) (.f64 i i)))))
(.f64 (/.f64 i (/.f64 (fma.f64 (.f64 i i) (fma.f64 i i #s(literal -1/4 binary64)) #s(literal 1/16 binary64)) (+.f64 #s(literal -1/262144 binary64) (.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))) (.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))))))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))) (fma.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))) #s(literal -1/64 binary64)) #s(literal 1/4096 binary64))))
(.f64 (/.f64 i (/.f64 (fma.f64 (.f64 i i) (fma.f64 i i #s(literal -1/4 binary64)) #s(literal 1/16 binary64)) (+.f64 #s(literal 1/4096 binary64) (.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 i i) (.f64 i (.f64 i (*.f64 i i))) #s(literal -1/64 binary64))))
(.f64 (/.f64 i (fma.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))) #s(literal -1/64 binary64))) (/.f64 (-.f64 #s(literal 1/16 binary64) (.f64 i (.f64 i (.f64 i i)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 i i) (-.f64 (.f64 i i) #s(literal -1/4 binary64)) #s(literal 1/16 binary64)))))
(.f64 (/.f64 i (/.f64 (fma.f64 i i #s(literal -1/4 binary64)) (+.f64 #s(literal 1/4096 binary64) (.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 i (.f64 i (.f64 i i))) (fma.f64 i (.f64 i (*.f64 i i)) #s(literal 1/16 binary64)) #s(literal 1/256 binary64))))
(.f64 (/.f64 i (/.f64 (fma.f64 i i #s(literal -1/4 binary64)) (-.f64 #s(literal 1/256 binary64) (.f64 (.f64 i i) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))))))) (/.f64 #s(literal 1 binary64) (fma.f64 i (.f64 i (.f64 i i)) #s(literal 1/16 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1/16 binary64) (.f64 i (.f64 i (.f64 i i)))) (/.f64 (-.f64 #s(literal 1/16 binary64) (.f64 i (.f64 i (.f64 i i)))) (fma.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))) #s(literal -1/64 binary64)))) (/.f64 i (fma.f64 (.f64 i i) (fma.f64 i i #s(literal -1/4 binary64)) #s(literal 1/16 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1/16 binary64) (.f64 i (.f64 i (.f64 i i)))) (/.f64 (-.f64 #s(literal 1/16 binary64) (.f64 i (.f64 i (.f64 i i)))) (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))))))) (/.f64 i (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 i i) (fma.f64 i i #s(literal -1/4 binary64)) #s(literal 1/16 binary64)))))
(.f64 (/.f64 (-.f64 #s(literal 1/16 binary64) (.f64 i (.f64 i (.f64 i i)))) (/.f64 (-.f64 #s(literal 1/16 binary64) (.f64 i (.f64 i (.f64 i i)))) (+.f64 #s(literal -1/16 binary64) (.f64 i (.f64 i (.f64 i i)))))) (/.f64 i (-.f64 #s(literal 0 binary64) (fma.f64 i i #s(literal -1/4 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 i i) (fma.f64 i i #s(literal -1/4 binary64)) #s(literal 1/16 binary64)) (+.f64 #s(literal -1/262144 binary64) (.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))) (.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))))))))) (/.f64 i (fma.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))) (fma.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))) #s(literal -1/64 binary64)) #s(literal 1/4096 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 i i) (fma.f64 i i #s(literal -1/4 binary64)) #s(literal 1/16 binary64)) (+.f64 #s(literal 1/4096 binary64) (.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))))))) (/.f64 i (fma.f64 (.f64 i i) (.f64 i (.f64 i (*.f64 i i))) #s(literal -1/64 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 i i #s(literal -1/4 binary64)) (+.f64 #s(literal 1/4096 binary64) (.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))))))) (/.f64 i (fma.f64 (.f64 i (.f64 i (.f64 i i))) (fma.f64 i (.f64 i (*.f64 i i)) #s(literal 1/16 binary64)) #s(literal 1/256 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 i i #s(literal -1/4 binary64)) (-.f64 #s(literal 1/256 binary64) (.f64 (.f64 i i) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))))))) (/.f64 i (fma.f64 i (.f64 i (.f64 i i)) #s(literal 1/16 binary64))))
(.f64 (/.f64 i (/.f64 (-.f64 #s(literal 1/16 binary64) (.f64 i (.f64 i (.f64 i i)))) (fma.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))) #s(literal -1/64 binary64)))) (/.f64 (-.f64 #s(literal 1/16 binary64) (.f64 i (.f64 i (.f64 i i)))) (fma.f64 (.f64 i i) (fma.f64 i i #s(literal -1/4 binary64)) #s(literal 1/16 binary64))))
(.f64 (/.f64 i (/.f64 (-.f64 #s(literal 1/16 binary64) (.f64 i (.f64 i (.f64 i i)))) (-.f64 #s(literal 1/16 binary64) (.f64 i (.f64 i (.f64 i i)))))) (-.f64 #s(literal -1/4 binary64) (.f64 i i)))
(.f64 (/.f64 i (/.f64 (-.f64 #s(literal 1/16 binary64) (.f64 i (.f64 i (.f64 i i)))) (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))))))) (/.f64 (-.f64 #s(literal 1/16 binary64) (.f64 i (.f64 i (.f64 i i)))) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 i i) (fma.f64 i i #s(literal -1/4 binary64)) #s(literal 1/16 binary64)))))
(.f64 (/.f64 i (/.f64 (-.f64 #s(literal 1/16 binary64) (.f64 i (.f64 i (.f64 i i)))) (+.f64 #s(literal -1/16 binary64) (.f64 i (.f64 i (.f64 i i)))))) (/.f64 (-.f64 #s(literal 1/16 binary64) (.f64 i (.f64 i (.f64 i i)))) (-.f64 #s(literal 0 binary64) (fma.f64 i i #s(literal -1/4 binary64)))))
(.f64 (/.f64 (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))))) #s(literal -1 binary64)) (/.f64 i (fma.f64 (*.f64 i i) (fma.f64 i i #s(literal -1/4 binary64)) #s(literal 1/16 binary64))))
(.f64 (/.f64 (sqrt.f64 i) (fma.f64 (.f64 i i) (fma.f64 i i #s(literal -1/4 binary64)) #s(literal 1/16 binary64))) (/.f64 (sqrt.f64 i) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))) #s(literal -1/64 binary64)))))
(.f64 (/.f64 (sqrt.f64 i) (fma.f64 i i #s(literal -1/4 binary64))) (/.f64 (sqrt.f64 i) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/16 binary64) (.f64 i (.f64 i (.f64 i i)))))))
(.f64 (/.f64 (sqrt.f64 i) (/.f64 (fma.f64 (.f64 i i) (fma.f64 i i #s(literal -1/4 binary64)) #s(literal 1/16 binary64)) (+.f64 #s(literal -1/262144 binary64) (.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))) (.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))))))))) (/.f64 (sqrt.f64 i) (fma.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))) (fma.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))) #s(literal -1/64 binary64)) #s(literal 1/4096 binary64))))
(.f64 (/.f64 (sqrt.f64 i) (/.f64 (fma.f64 (.f64 i i) (fma.f64 i i #s(literal -1/4 binary64)) #s(literal 1/16 binary64)) (+.f64 #s(literal 1/4096 binary64) (.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))))))) (/.f64 (sqrt.f64 i) (fma.f64 (.f64 i i) (.f64 i (.f64 i (*.f64 i i))) #s(literal -1/64 binary64))))
(.f64 (/.f64 (sqrt.f64 i) (/.f64 (fma.f64 i i #s(literal -1/4 binary64)) (+.f64 #s(literal 1/4096 binary64) (.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))))))) (/.f64 (sqrt.f64 i) (fma.f64 (.f64 i (.f64 i (.f64 i i))) (fma.f64 i (.f64 i (*.f64 i i)) #s(literal 1/16 binary64)) #s(literal 1/256 binary64))))
(.f64 (/.f64 (sqrt.f64 i) (/.f64 (fma.f64 i i #s(literal -1/4 binary64)) (-.f64 #s(literal 1/256 binary64) (.f64 (.f64 i i) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))))))) (/.f64 (sqrt.f64 i) (fma.f64 i (.f64 i (.f64 i i)) #s(literal 1/16 binary64))))
(.f64 (/.f64 i #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (.f64 i i) (fma.f64 i i #s(literal -1/4 binary64)) #s(literal 1/16 binary64))) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(.f64 (/.f64 i #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 i i #s(literal -1/4 binary64))) (-.f64 #s(literal -1/4 binary64) (.f64 i i))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 i)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 i)) #s(literal 1 binary64)))
(pow.f64 i #s(literal 2 binary64))
(pow.f64 (*.f64 i i) #s(literal 1 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) i) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 i))
(*.f64 i i)
(*.f64 (-.f64 #s(literal 0 binary64) i) (-.f64 #s(literal 0 binary64) i))

simplify207.0ms (2.4%)

Memory

18.3MiB live, 336.7MiB allocated

Algorithm

1×	egg-herbie

Rules

7 060×	`accelerator-lowering-fma.f32`
7 060×	`accelerator-lowering-fma.f64`
3 574×	`-lowering-.f32`
3 574×	`-lowering-.f64`
1 548×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	28	381
1	79	381
2	272	354
3	905	354
4	2861	354
5	5736	354
0	8071	354

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

Inputs
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
-1/4
(- (* -1 (pow i 2)) 1/4)
(- (* -1 (pow i 2)) 1/4)
(- (* -1 (pow i 2)) 1/4)
(* -1 (pow i 2))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (pow i 2))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* -1 (pow i 4))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (pow i 4))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1/4 i)
(* i (- (* -1 (pow i 2)) 1/4))
(* i (- (* -1 (pow i 2)) 1/4))
(* i (- (* -1 (pow i 2)) 1/4))
(* -1 (pow i 3))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (pow i 3))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)

Outputs
(* -1/4 (pow i 2))
(fma.f64 i (fma.f64 i #s(literal -1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1/4 (pow i 2))
(fma.f64 i (fma.f64 i #s(literal -1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1/4 (pow i 2))
(fma.f64 i (fma.f64 i #s(literal -1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1/4 (pow i 2))
(fma.f64 i (fma.f64 i #s(literal -1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1/4 (pow i 2))
(fma.f64 i (fma.f64 i #s(literal -1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1/4 (pow i 2))
(fma.f64 i (fma.f64 i #s(literal -1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1/4 (pow i 2))
(fma.f64 i (fma.f64 i #s(literal -1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1/4 (pow i 2))
(fma.f64 i (fma.f64 i #s(literal -1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1/4 (pow i 2))
(fma.f64 i (fma.f64 i #s(literal -1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1/4 (pow i 2))
(fma.f64 i (fma.f64 i #s(literal -1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1/4 (pow i 2))
(fma.f64 i (fma.f64 i #s(literal -1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1/4 (pow i 2))
(fma.f64 i (fma.f64 i #s(literal -1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1/4 i)
(fma.f64 i #s(literal -1/4 binary64) #s(literal 0 binary64))
(* -1/4 i)
(fma.f64 i #s(literal -1/4 binary64) #s(literal 0 binary64))
(* -1/4 i)
(fma.f64 i #s(literal -1/4 binary64) #s(literal 0 binary64))
(* -1/4 i)
(fma.f64 i #s(literal -1/4 binary64) #s(literal 0 binary64))
(* -1/4 i)
(fma.f64 i #s(literal -1/4 binary64) #s(literal 0 binary64))
(* -1/4 i)
(fma.f64 i #s(literal -1/4 binary64) #s(literal 0 binary64))
(* -1/4 i)
(fma.f64 i #s(literal -1/4 binary64) #s(literal 0 binary64))
(* -1/4 i)
(fma.f64 i #s(literal -1/4 binary64) #s(literal 0 binary64))
(* -1/4 i)
(fma.f64 i #s(literal -1/4 binary64) #s(literal 0 binary64))
(* -1/4 i)
(fma.f64 i #s(literal -1/4 binary64) #s(literal 0 binary64))
(* -1/4 i)
(fma.f64 i #s(literal -1/4 binary64) #s(literal 0 binary64))
(* -1/4 i)
(fma.f64 i #s(literal -1/4 binary64) #s(literal 0 binary64))
-1/4
#s(literal -1/4 binary64)
(- (* -1 (pow i 2)) 1/4)
(-.f64 #s(literal 0 binary64) (fma.f64 i i #s(literal 1/4 binary64)))
(- (* -1 (pow i 2)) 1/4)
(-.f64 #s(literal 0 binary64) (fma.f64 i i #s(literal 1/4 binary64)))
(- (* -1 (pow i 2)) 1/4)
(-.f64 #s(literal 0 binary64) (fma.f64 i i #s(literal 1/4 binary64)))
(* -1 (pow i 2))
(-.f64 #s(literal 0 binary64) (fma.f64 i i #s(literal 0 binary64)))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(-.f64 #s(literal 0 binary64) (fma.f64 i i #s(literal 1/4 binary64)))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(-.f64 #s(literal 0 binary64) (fma.f64 i i #s(literal 1/4 binary64)))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(-.f64 #s(literal 0 binary64) (fma.f64 i i #s(literal 1/4 binary64)))
(* -1 (pow i 2))
(-.f64 #s(literal 0 binary64) (fma.f64 i i #s(literal 0 binary64)))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(-.f64 #s(literal 0 binary64) (fma.f64 i i #s(literal 1/4 binary64)))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(-.f64 #s(literal 0 binary64) (fma.f64 i i #s(literal 1/4 binary64)))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(-.f64 #s(literal 0 binary64) (fma.f64 i i #s(literal 1/4 binary64)))
(* -1/4 (pow i 2))
(fma.f64 i (fma.f64 i #s(literal -1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 i i #s(literal 0 binary64)) (fma.f64 i i #s(literal 1/4 binary64)) #s(literal 0 binary64)))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 i i #s(literal 0 binary64)) (fma.f64 i i #s(literal 1/4 binary64)) #s(literal 0 binary64)))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 i i #s(literal 0 binary64)) (fma.f64 i i #s(literal 1/4 binary64)) #s(literal 0 binary64)))
(* -1 (pow i 4))
(-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 i i #s(literal 0 binary64)) (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64)))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 i i #s(literal 0 binary64)) (fma.f64 i i #s(literal 1/4 binary64)) #s(literal 0 binary64)))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 i i #s(literal 0 binary64)) (fma.f64 i i #s(literal 1/4 binary64)) #s(literal 0 binary64)))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 i i #s(literal 0 binary64)) (fma.f64 i i #s(literal 1/4 binary64)) #s(literal 0 binary64)))
(* -1 (pow i 4))
(-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 i i #s(literal 0 binary64)) (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64)))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 i i #s(literal 0 binary64)) (fma.f64 i i #s(literal 1/4 binary64)) #s(literal 0 binary64)))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 i i #s(literal 0 binary64)) (fma.f64 i i #s(literal 1/4 binary64)) #s(literal 0 binary64)))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 i i #s(literal 0 binary64)) (fma.f64 i i #s(literal 1/4 binary64)) #s(literal 0 binary64)))
(* -1/4 i)
(fma.f64 i #s(literal -1/4 binary64) #s(literal 0 binary64))
(* i (- (* -1 (pow i 2)) 1/4))
(-.f64 #s(literal 0 binary64) (fma.f64 i (fma.f64 i i #s(literal 1/4 binary64)) #s(literal 0 binary64)))
(* i (- (* -1 (pow i 2)) 1/4))
(-.f64 #s(literal 0 binary64) (fma.f64 i (fma.f64 i i #s(literal 1/4 binary64)) #s(literal 0 binary64)))
(* i (- (* -1 (pow i 2)) 1/4))
(-.f64 #s(literal 0 binary64) (fma.f64 i (fma.f64 i i #s(literal 1/4 binary64)) #s(literal 0 binary64)))
(* -1 (pow i 3))
(-.f64 #s(literal 0 binary64) (fma.f64 i (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64)))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(-.f64 #s(literal 0 binary64) (fma.f64 i (fma.f64 i i #s(literal 1/4 binary64)) #s(literal 0 binary64)))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(-.f64 #s(literal 0 binary64) (fma.f64 i (fma.f64 i i #s(literal 1/4 binary64)) #s(literal 0 binary64)))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(-.f64 #s(literal 0 binary64) (fma.f64 i (fma.f64 i i #s(literal 1/4 binary64)) #s(literal 0 binary64)))
(* -1 (pow i 3))
(-.f64 #s(literal 0 binary64) (fma.f64 i (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64)))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(-.f64 #s(literal 0 binary64) (fma.f64 i (fma.f64 i i #s(literal 1/4 binary64)) #s(literal 0 binary64)))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(-.f64 #s(literal 0 binary64) (fma.f64 i (fma.f64 i i #s(literal 1/4 binary64)) #s(literal 0 binary64)))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(-.f64 #s(literal 0 binary64) (fma.f64 i (fma.f64 i i #s(literal 1/4 binary64)) #s(literal 0 binary64)))
(pow i 2)
(fma.f64 i i #s(literal 0 binary64))
(pow i 2)
(fma.f64 i i #s(literal 0 binary64))
(pow i 2)
(fma.f64 i i #s(literal 0 binary64))
(pow i 2)
(fma.f64 i i #s(literal 0 binary64))
(pow i 2)
(fma.f64 i i #s(literal 0 binary64))
(pow i 2)
(fma.f64 i i #s(literal 0 binary64))
(pow i 2)
(fma.f64 i i #s(literal 0 binary64))
(pow i 2)
(fma.f64 i i #s(literal 0 binary64))
(pow i 2)
(fma.f64 i i #s(literal 0 binary64))
(pow i 2)
(fma.f64 i i #s(literal 0 binary64))
(pow i 2)
(fma.f64 i i #s(literal 0 binary64))
(pow i 2)
(fma.f64 i i #s(literal 0 binary64))

eval86.0ms (1%)

Memory: -4.8MiB live, 108.4MiB allocated
Compiler: Compiled 19 507 to 1 622 computations (91.7% saved)

prune91.0ms (1.1%)

Memory

-27.5MiB live, 132.2MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	532	0	532
Fresh	0	0	0
Picked	0	2	2
Done	0	5	5
Total	532	7	539

Accuracy

100.0%

Counts

539 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	79.3%	(/.f64 (.f64 (.f64 i i) #s(literal -1/4 binary64)) (fma.f64 i (*.f64 i #s(literal -4 binary64)) #s(literal 1 binary64)))
✓	98.9%	(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal 16 binary64)))
✓	47.2%	(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
✓	53.2%	(.f64 (.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i)
✓	53.1%	(.f64 (.f64 i #s(literal -1/4 binary64)) i)
✓	79.8%	(.f64 i (.f64 i (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))))
✓	47.4%	#s(literal 1/16 binary64)

Compiler

Compiled 186 to 91 computations (51.1% saved)

regimes9.0ms (0.1%)

Memory

13.1MiB live, 13.1MiB allocated

Counts

13 → 1

Calls

Call 1

Inputs
#s(literal 1/16 binary64)
(.f64 (.f64 i #s(literal -1/4 binary64)) i)
(fma.f64 i (*.f64 i #s(literal -1/4 binary64)) #s(literal 0 binary64))
(fma.f64 i (fma.f64 i #s(literal -1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(.f64 (.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i)
(.f64 (.f64 (-.f64 #s(literal -1/4 binary64) (fma.f64 i i #s(literal 0 binary64))) i) i)
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (fma.f64 i i #s(literal 0 binary64))))
(fma.f64 (fma.f64 i i #s(literal 0 binary64)) (-.f64 #s(literal -1/4 binary64) (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal 16 binary64)))
(.f64 i (.f64 i (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))))
(/.f64 (.f64 (.f64 i i) #s(literal -1/4 binary64)) (fma.f64 i (*.f64 i #s(literal -4 binary64)) #s(literal 1 binary64)))
(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))

Outputs
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal 16 binary64)))

Calls

2 calls:

4.0ms

(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
98.9%	1	`i`
98.9%	1	`(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))`

Compiler

Compiled 28 to 11 computations (60.7% saved)

regimes7.0ms (0.1%)

Memory

11.7MiB live, 11.7MiB allocated

Counts

9 → 2

Calls

Call 1

Inputs
#s(literal 1/16 binary64)
(.f64 (.f64 i #s(literal -1/4 binary64)) i)
(fma.f64 i (*.f64 i #s(literal -1/4 binary64)) #s(literal 0 binary64))
(fma.f64 i (fma.f64 i #s(literal -1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(.f64 (.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i)
(.f64 (.f64 (-.f64 #s(literal -1/4 binary64) (fma.f64 i i #s(literal 0 binary64))) i) i)
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (fma.f64 i i #s(literal 0 binary64))))
(fma.f64 (fma.f64 i i #s(literal 0 binary64)) (-.f64 #s(literal -1/4 binary64) (fma.f64 i i #s(literal 0 binary64))) #s(literal 0 binary64))

Outputs
(.f64 (.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i)
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))

Calls

2 calls:

3.0ms

(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
99.2%	2	`i`
78.7%	3	`(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))`

Compiler

Compiled 28 to 11 computations (60.7% saved)

regimes3.0ms (0%)

Memory

6.6MiB live, 6.6MiB allocated

Counts

6 → 2

Calls

Call 1

Inputs
#s(literal 1/16 binary64)
(.f64 (.f64 i #s(literal -1/4 binary64)) i)
(fma.f64 i (*.f64 i #s(literal -1/4 binary64)) #s(literal 0 binary64))
(fma.f64 i (fma.f64 i #s(literal -1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(.f64 (.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i)
(.f64 (.f64 (-.f64 #s(literal -1/4 binary64) (fma.f64 i i #s(literal 0 binary64))) i) i)

Outputs
(.f64 (.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i)
#s(literal 1/16 binary64)

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
98.8%	2	`i`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Memory

5.5MiB live, 5.5MiB allocated

Counts

4 → 2

Calls

Call 1

Inputs
#s(literal 1/16 binary64)
(.f64 (.f64 i #s(literal -1/4 binary64)) i)
(fma.f64 i (*.f64 i #s(literal -1/4 binary64)) #s(literal 0 binary64))
(fma.f64 i (fma.f64 i #s(literal -1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))

Outputs
(.f64 (.f64 i #s(literal -1/4 binary64)) i)
#s(literal 1/16 binary64)

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
98.7%	2	`i`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Memory

-32.4MiB live, 6.7MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 1/16 binary64)

Outputs
#s(literal 1/16 binary64)

Calls

2 calls:

2.0ms

1.0ms

(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
47.4%	1	`(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))`
47.4%	1	`i`

Compiler

Compiled 28 to 11 computations (60.7% saved)

bsearch12.0ms (0.1%)

Memory

20.2MiB live, 20.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	0.10334237695841975	3.403814810757427

Samples

7.0ms

112×

valid

Compiler

Compiled 169 to 112 computations (33.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-mult: 3.0ms (67.6% of total)

ival-sub: 1.0ms (22.5% of total)

ival-div: 1.0ms (22.5% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

bsearch14.0ms (0.2%)

Memory

-15.0MiB live, 21.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	0.10334237695841975	3.403814810757427

Samples

9.0ms

112×

valid

Compiler

Compiled 127 to 84 computations (33.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-sub: 3.0ms (43% of total)

ival-mult: 2.0ms (28.7% of total)

ival-div: 1.0ms (14.3% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

bsearch12.0ms (0.1%)

Memory

22.2MiB live, 22.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	0.10334237695841975	3.403814810757427

Samples

7.0ms

112×

valid

Compiler

Compiled 99 to 70 computations (29.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult: 2.0ms (43.6% of total)

ival-sub: 1.0ms (21.8% of total)

ival-div: 1.0ms (21.8% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

simplify10.0ms (0.1%)

Memory

-21.6MiB live, 17.0MiB allocated

Algorithm

1×	egg-herbie

Rules

12×	`*-commutative_binary64`
10×	`+-commutative_binary64`
6×	`sub-neg_binary64`
4×	`neg-sub0_binary64`
4×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	54
1	37	54
2	44	54
3	48	54
4	50	54

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal 16 binary64)))
(if (<=.f64 i #s(literal 1/2 binary64)) (.f64 (.f64 (-.f64 #s(literal -1/4 binary64) (.f64 i i)) i) i) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i))))
(if (<=.f64 i #s(literal 1/2 binary64)) (.f64 (.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i) #s(literal 1/16 binary64))
(if (<=.f64 i #s(literal 1/2 binary64)) (.f64 (.f64 i #s(literal -1/4 binary64)) i) #s(literal 1/16 binary64))
#s(literal 1/16 binary64)

Outputs
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal 16 binary64)))
(if (<=.f64 i #s(literal 1/2 binary64)) (.f64 (.f64 (-.f64 #s(literal -1/4 binary64) (.f64 i i)) i) i) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i))))
(if (<=.f64 i #s(literal 1/2 binary64)) (.f64 i (.f64 i (-.f64 #s(literal -1/4 binary64) (.f64 i i)))) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i))))
(if (<=.f64 i #s(literal 1/2 binary64)) (.f64 (.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i) #s(literal 1/16 binary64))
(if (<=.f64 i #s(literal 1/2 binary64)) (.f64 i (.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))) #s(literal 1/16 binary64))
(if (<=.f64 i #s(literal 1/2 binary64)) (.f64 (.f64 i #s(literal -1/4 binary64)) i) #s(literal 1/16 binary64))
(if (<=.f64 i #s(literal 1/2 binary64)) (.f64 i (.f64 i #s(literal -1/4 binary64))) #s(literal 1/16 binary64))
#s(literal 1/16 binary64)

soundness1.1s (13.1%)

Memory

54.3MiB live, 741.8MiB allocated

Rules

15 408×	`accelerator-lowering-fma.f32`
15 408×	`accelerator-lowering-fma.f64`
5 828×	`accelerator-lowering-fma.f32`
5 828×	`accelerator-lowering-fma.f64`
5 126×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	401
1	96	401
2	220	400
3	504	396
4	1045	396
5	2097	396
6	4072	396
7	6268	396
0	8056	384
0	10	50
1	68	44
2	647	32
0	8818	30
0	30	115
1	167	115
2	1477	115
0	8801	108
0	22	61
1	162	61
2	1530	61
0	8525	58

Stop Event

1×	done
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Compiler

Compiled 168 to 95 computations (43.5% saved)

preprocess110.0ms (1.3%)

Memory: -48.9MiB live, 186.0MiB allocated
Remove: (abs i)
Compiler: Compiled 204 to 92 computations (54.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	8	36
1	19	36
2	34	36
3	66	36
4	113	36
5	175	36
6	247	36
7	402	36
8	508	36
9	585	36
10	701	36
11	701	36
12	702	36
0	702	36

Iter	Nodes	Cost
0	8	36
1	19	36
2	34	36
3	66	36
4	113	36
5	175	36
6	247	36
7	402	36
8	508	36
9	585	36
10	701	36
11	701	36
12	702	36
0	702	36

analyze3.0ms (0%)

sample1.0s (12%)

preprocess321.0ms (3.8%)

explain160.0ms (1.9%)

eval0.0ms (0%)

prune2.0ms (0%)

simplify324.0ms (3.8%)

localize31.0ms (0.4%)

series6.0ms (0.1%)

rewrite350.0ms (4.1%)

simplify473.0ms (5.6%)

eval98.0ms (1.2%)

prune98.0ms (1.2%)

simplify76.0ms (0.9%)

localize60.0ms (0.7%)

series7.0ms (0.1%)

rewrite502.0ms (5.9%)

simplify804.0ms (9.5%)

eval314.0ms (3.7%)

prune259.0ms (3.1%)

simplify115.0ms (1.4%)

localize82.0ms (1%)

series7.0ms (0.1%)

rewrite320.0ms (3.8%)

simplify322.0ms (3.8%)

eval146.0ms (1.7%)

prune451.0ms (5.3%)

simplify88.0ms (1%)

localize31.0ms (0.4%)

series1.0ms (0%)

rewrite343.0ms (4%)

simplify207.0ms (2.4%)

eval86.0ms (1%)

prune91.0ms (1.1%)

regimes9.0ms (0.1%)

regimes7.0ms (0.1%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes3.0ms (0%)

bsearch12.0ms (0.1%)

bsearch14.0ms (0.2%)

bsearch12.0ms (0.1%)

simplify10.0ms (0.1%)

soundness1.1s (13.1%)

preprocess110.0ms (1.3%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	8	36
1	19	36
2	34	36
3	66	36
4	113	36
5	175	36
6	247	36
7	402	36
8	508	36
9	585	36
10	701	36
11	701	36
12	702	36
0	702	36